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

Answer 1

The number of sundaes sold was 36 and the number of banana split sold was 28

Explanation:

Let

x ----> the number of sundaes sold

y ---> the number of banana split sold

we know that

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

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

Solve the system by substitution

substitute equation B in equation A

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

solve for y

`2y+16+3y=156`

`5y=156-16`

`5y=140`

`y=28`

Find the value of x

`x=y+8`

`x=28+8=36`

The solution is the ordered pair (36,28)

therefore

The number of sundaes sold was 36 and the number of banana split sold was 28