Mindy and Troy combined ate 9 pieces of the wedding cake. Mindy ate 3 pieces of the cake and Troy had 1/4 of the total cake

Answer 1

So, if the question is how many pieces does the total cake have:

Given: Mindy + Troy = 9 ---------1 { Since, Mindy and Troy combined ate 9 pieces of cake }

Mindy = 3 --------2 {Since, he ate 3 pieces of cake }

Let total cake = 'x'

Troy = 1/4 x ----------3 {Troy ate 1/4 of total cake}

Plug in equation 2 and 3 in equation 1

3 + 1/4 x = 9 {Solve for x }

1/4 x = 9 - 3 { Take 3 to the right of equation }

1/4 x = 6

x = 24

So, total pieces of cake is 24. And Troy ate 1/4 x = (1/4) * 24 = 6