Math Help Forum: ratio of apples

Dear Sir
I would be grateful if you can help me to solve the the below questions
thanks
Kingsman


At the party, each child had either 1 apple or 2 apples. If the ratio of the number of children to the number of apples was 5: 8, what fraction of the children had 2 apples each?

Originally Posted by kingman

Dear Sir
I would be grateful if you can help me to solve the the below questions
thanks
Kingsman


At the party, each child had either 1 apple or 2 apples. If the ratio of the number of children to the number of apples was 5: 8, what fraction of the children had 2 apples each?

2 + 2 + 2 + 1 + 1 = 8

Dear Sir,
Can you show me how to do this question algebraically.
Thanks

Hello, kingman!

At the party, each child had either 1 apple or 2 apples.
If the ratio of the number of children to the number of apples was 5: 8,
what fraction of the children had 2 apples each?

Let = number of children with 1 apple.
Let = number of children with 2 apples.

Then there were: . children.

And there were: . apples.

. . We want the fraction: .


We are told that: .

. . . .So we have: .

which simplifies to: . . .


Add 1 to both sides: .


. . Therefore: .

Dear Soroban.
You are a fantastic problem solver and I love your approach to the problem very much.Crystal Clear!
Thousand Thanks
Kingman

Dear Sir,
Can this problem be solved by looking at the remainder when the number of apples ( 8x ) is divided by the number of children ( 5x)
Thanks
Kingman