Mindy and troy combined ate 9 pieces of the wedding cake. Mindy ate 3 pieces of cake and troy had 1

today
Mindy and troy combined ate 9 pieces of the wedding cake. Mindy ate 3 pieces of cake and troy had 1/4 of the total cake. Write an equation to determine how many pieces of cake (c) that were in total

Let c be the total number of pieces of cake. Let m be the number of pieces Mindy ate. Let t be the number of pieces Troy ate. We have the following given equations:

  • m + t = 9
  • m = 3
  • t = 1/4c
Combining (2) and (3) into (1), we have:
3 + 1/4c = 9

Subtract 3 from each side:
1/4c = 6

Cross multiply:
c = 24

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