Question

I don't know how to solve this, solving systems of linear equations:

The Frosty Ice Cream shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes than banana splits and made $156. How many bananas did they use if there is 1/2 a banana on each banana split?

Answer 1

s=sundae number
b=bananasplit number


8 mroe sundaes thatn banana splits
s=8+b

and made 156
2s+3b=156

solve
sub 8+b for s
2(8+b)+3b=156
16+2b+3b=156
16+5b=156
minus 16 both sides
5b=140
divide both sides by 5
b=28
28 banana splits


1/2 on each
28 times 1/2=14
14 bananas