Question

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 banana splits were sold?

Answer 1

The number of banana splits sold was
`28`

Explanation:

Let

x-----> the number of sundaes sold

y-----> the number of banana splits sold

we know that

`2x+3y=156` -----> equation A

`x=y+8` ----> equation B

substitute equation B in equation A and solve for y

`2(y+8)+3y=156`

`2y+16+3y=156`

`5y=156-16`

`5y=140`

`y=28`