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

Answer:

The number of banana splits sold was $28$

Step-by-step 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

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

$2y+16+3y=156$

$5y=156-16$

$5y=140$

$y=28$