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
[tex]2x+3y=156[/tex] ----> equation A
[tex]x=y+8[/tex] -----> equation B
Solve the system by substitution
substitute equation B in equation A
[tex]2(y+8)+3y=156[/tex]
solve for y
[tex]2y+16+3y=156[/tex]
[tex]5y=156-16[/tex]
[tex]5y=140[/tex]
[tex]y=28[/tex]
Find the value of x
[tex]x=y+8[/tex]
[tex]x=28+8=36[/tex]
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
