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. Use system of equations to find the number of sundaes that the shop sold that day?

Answer 1

The number of sundaes sold are 36.

Explanation:

The cost of each sundae is $2 and the cost of each banana splits is $3.

The number of sundae sold be "x" and banana split be "y".

Thus, the total amount spent is,

=
`2x+3y`

The total amount spent is given to be $156. Thus,

156 =
`2x+3y`

It is also given that, the shop sold 8 more sundaes than banana splits. In equation form,

`x = y+8`

`y = x-8`,

Inserting this value of y in above equation, we get,

156 =
`2x+3(x-8)` =
`5x-24`

`180 = 5x`

Thus, x = 36 = number of sundae sold.