Mixing
Grandpa’s baseball cards
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One day at a family reunion we found a bunch of baseball cards in Grandpa's basement. Grandpa said we could split them among all the grandkids. There were 5040 cards in all, so each of us got a lot of cards. but then we remembered that the Paxtons, who had four of the grandchildren, hadn't arrived yet. That meant each of us present had to give up 42 cards, so that all the grandchildren would have the same number of cards.
How many grandchildren does Grandpa have?
mathematics
edited 1 hour ago
GentlePurpleRain♦
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asked 2 hours ago
Mary
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up vote
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One day at a family reunion we found a bunch of baseball cards in Grandpa's basement. Grandpa said we could split them among all the grandkids. There were 5040 cards in all, so each of us got a lot of cards. but then we remembered that the Paxtons, who had four of the grandchildren, hadn't arrived yet. That meant each of us present had to give up 42 cards, so that all the grandchildren would have the same number of cards.
How many grandchildren does Grandpa have?
mathematics
edited 1 hour ago
GentlePurpleRain♦
16.3k566133
asked 2 hours ago
Mary
161
New contributor
Mary is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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up vote
3
down vote
favorite
up vote
3
down vote
favorite
One day at a family reunion we found a bunch of baseball cards in Grandpa's basement. Grandpa said we could split them among all the grandkids. There were 5040 cards in all, so each of us got a lot of cards. but then we remembered that the Paxtons, who had four of the grandchildren, hadn't arrived yet. That meant each of us present had to give up 42 cards, so that all the grandchildren would have the same number of cards.
How many grandchildren does Grandpa have?
mathematics
edited 1 hour ago
GentlePurpleRain♦
16.3k566133
asked 2 hours ago
Mary
161
New contributor
Mary is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
One day at a family reunion we found a bunch of baseball cards in Grandpa's basement. Grandpa said we could split them among all the grandkids. There were 5040 cards in all, so each of us got a lot of cards. but then we remembered that the Paxtons, who had four of the grandchildren, hadn't arrived yet. That meant each of us present had to give up 42 cards, so that all the grandchildren would have the same number of cards.
How many grandchildren does Grandpa have?
mathematics
mathematics
edited 1 hour ago
GentlePurpleRain♦
16.3k566133
asked 2 hours ago
Mary
161
New contributor
Mary is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 1 hour ago
GentlePurpleRain♦
16.3k566133
asked 2 hours ago
Mary
161
New contributor
Mary is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 1 hour ago
GentlePurpleRain♦
16.3k566133
edited 1 hour ago
GentlePurpleRain♦
16.3k566133
edited 1 hour ago
GentlePurpleRain♦
16.3k566133
16.3k566133
asked 2 hours ago
Mary
161
New contributor
Mary is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 2 hours ago
Mary
161
asked 2 hours ago
Mary
161
161
New contributor
Mary is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Mary is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
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2 Answers
2
active
oldest
votes
up vote
3
down vote
Let
$x$ equal the number of grandchildren.
The Paxtons, in total, have:
$42(x-4)$ cards (since each grandchild, except the 4 Paxtons, gave up 42 cards)
Each indiviual Paxton has:
$10.5(x-4)$, or $10.5x-42$ cards.
Since each Paxton has the same number of cards as any other grandchild:
$10.5x-42 = 5040/x$.
Then simple algebra gives:
$10.5x^2-42x-5040 = 0$
when the quadratic formula gives:
$x = 24, -20$
Result:
Obviously, Grandpa has -20 grandchildren.
(This is kidding. It's 24.)
answered 1 hour ago
Excited Raichu
1,28019
add a comment |Â
up vote
1
down vote
Grandpa has a total of:
24 grandchildren.
Because
$5040/20=252$ is the number of cards each grandkid got originally.
$5040/24=210$ is the number of cards each grandkid should get after the additional four grandkids arrived.
If each grandkid gives 42 cards away that's a total of $42*20=840$ cards. $840/4=210$.
answered 1 hour ago
Robert S.
2036
add a comment |Â
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
3
down vote
Let
$x$ equal the number of grandchildren.
The Paxtons, in total, have:
$42(x-4)$ cards (since each grandchild, except the 4 Paxtons, gave up 42 cards)
Each indiviual Paxton has:
$10.5(x-4)$, or $10.5x-42$ cards.
Since each Paxton has the same number of cards as any other grandchild:
$10.5x-42 = 5040/x$.
Then simple algebra gives:
$10.5x^2-42x-5040 = 0$
when the quadratic formula gives:
$x = 24, -20$
Result:
Obviously, Grandpa has -20 grandchildren.
(This is kidding. It's 24.)
answered 1 hour ago
Excited Raichu
1,28019
add a comment |Â
up vote
3
down vote
Let
$x$ equal the number of grandchildren.
The Paxtons, in total, have:
$42(x-4)$ cards (since each grandchild, except the 4 Paxtons, gave up 42 cards)
Each indiviual Paxton has:
$10.5(x-4)$, or $10.5x-42$ cards.
Since each Paxton has the same number of cards as any other grandchild:
$10.5x-42 = 5040/x$.
Then simple algebra gives:
$10.5x^2-42x-5040 = 0$
when the quadratic formula gives:
$x = 24, -20$
Result:
Obviously, Grandpa has -20 grandchildren.
(This is kidding. It's 24.)
answered 1 hour ago
Excited Raichu
1,28019
add a comment |Â
up vote
3
down vote
up vote
3
down vote
Let
$x$ equal the number of grandchildren.
The Paxtons, in total, have:
$42(x-4)$ cards (since each grandchild, except the 4 Paxtons, gave up 42 cards)
Each indiviual Paxton has:
$10.5(x-4)$, or $10.5x-42$ cards.
Since each Paxton has the same number of cards as any other grandchild:
$10.5x-42 = 5040/x$.
Then simple algebra gives:
$10.5x^2-42x-5040 = 0$
when the quadratic formula gives:
$x = 24, -20$
Result:
Obviously, Grandpa has -20 grandchildren.
(This is kidding. It's 24.)
answered 1 hour ago
Excited Raichu
1,28019
Let
$x$ equal the number of grandchildren.
The Paxtons, in total, have:
$42(x-4)$ cards (since each grandchild, except the 4 Paxtons, gave up 42 cards)
Each indiviual Paxton has:
$10.5(x-4)$, or $10.5x-42$ cards.
Since each Paxton has the same number of cards as any other grandchild:
$10.5x-42 = 5040/x$.
Then simple algebra gives:
$10.5x^2-42x-5040 = 0$
when the quadratic formula gives:
$x = 24, -20$
Result:
Obviously, Grandpa has -20 grandchildren.
(This is kidding. It's 24.)
answered 1 hour ago
Excited Raichu
1,28019
answered 1 hour ago
Excited Raichu
1,28019
answered 1 hour ago
Excited Raichu
1,28019
answered 1 hour ago
Excited Raichu
1,28019
1,28019
add a comment |Â
add a comment |Â
up vote
1
down vote
Grandpa has a total of:
24 grandchildren.
Because
$5040/20=252$ is the number of cards each grandkid got originally.
$5040/24=210$ is the number of cards each grandkid should get after the additional four grandkids arrived.
If each grandkid gives 42 cards away that's a total of $42*20=840$ cards. $840/4=210$.
answered 1 hour ago
Robert S.
2036
add a comment |Â
up vote
1
down vote
Grandpa has a total of:
24 grandchildren.
Because
$5040/20=252$ is the number of cards each grandkid got originally.
$5040/24=210$ is the number of cards each grandkid should get after the additional four grandkids arrived.
If each grandkid gives 42 cards away that's a total of $42*20=840$ cards. $840/4=210$.
answered 1 hour ago
Robert S.
2036
add a comment |Â
up vote
1
down vote
up vote
1
down vote
Grandpa has a total of:
24 grandchildren.
Because
$5040/20=252$ is the number of cards each grandkid got originally.
$5040/24=210$ is the number of cards each grandkid should get after the additional four grandkids arrived.
If each grandkid gives 42 cards away that's a total of $42*20=840$ cards. $840/4=210$.
answered 1 hour ago
Robert S.
2036
Grandpa has a total of:
24 grandchildren.
Because
$5040/20=252$ is the number of cards each grandkid got originally.
$5040/24=210$ is the number of cards each grandkid should get after the additional four grandkids arrived.
If each grandkid gives 42 cards away that's a total of $42*20=840$ cards. $840/4=210$.
answered 1 hour ago
Robert S.
2036
edited 1 hour ago
answered 1 hour ago
Robert S.
2036
answered 1 hour ago
Robert S.
2036
answered 1 hour ago
Robert S.
2036
2036
add a comment |Â
add a comment |Â
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