SOLUTION: At a picnic, the ratio of adults to children was 7 : 4.There were 15 more adults than children. How many people were at the picnic?

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Question 364421: At a picnic, the ratio of adults to children was 7 : 4.There were 15 more adults
than children. How many people were at the picnic?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the number of adults, C children.
1.A%2FC=7%2F4
2.A=15%2BC
From eq. 1,
4A=7C
From eq. 2,
4A=60%2B4C
Substitute from eq. 1,
7C=60%2B4C
3C=60
highlight%28C=20%29
Then from eq. 2,
A=15%2B20
highlight%28A=35%29