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

Answer:

The number of sundaes sold are 36.

Step-by-step 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.