MATH SOLVE

4 months ago

Q:
# 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

Accepted Solution

A:

Answer:The number of sundaes sold was 36 and the number of banana split sold was 28Step-by-step explanation:Letx ----> the number of sundaes soldy ---> the number of banana split soldwe know that[tex]2x+3y=156[/tex] ----> equation A[tex]x=y+8[/tex] -----> equation BSolve the system by substitutionsubstitute 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)thereforeThe number of sundaes sold was 36 and the number of banana split sold was 28