SOLUTION: If 3 small bags and 4 large bags contain 84 apples, while 5 small bags and 3 large bags contain 85 apples, and each small bag as well as each large bag contains the same number o

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: If 3 small bags and 4 large bags contain 84 apples, while 5 small bags and 3 large bags contain 85 apples, and each small bag as well as each large bag contains the same number o      Log On


   

Question 242661: If 3 small bags and 4 large bags contain 84 apples, while 5 small bags and 3 large
bags contain 85 apples, and each small bag as well as each large bag contains the
same number of apples, how many are in 2 small bags and 5 large bags?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
Let s=amount in a small bag and b=amt in big bag.
1) 3s+4b=84
2) 5s+3b=85
.
1)
4b=84-3s
b=21-.75s
2)
5s+3(21-.75s)=85 substitute 21-.75s for b.
5s+63-2.25s=85
2.75s=22
s=8
b=15
.
2*8+5*15=91 apples
.
Ed