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

Answer:

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

Step-by-step 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