Question

Audrey’s mother bought a large rectangular cake for Audrey’s 13th birthday party. The cake was cut into 32 equal pieces to be shared among Audrey, her school friends, and her two younger brothers. Audrey ate 1/16 of the cake, her friends ate 3/4 of the cake, and her two brothers together ate 1/3 of the remaining pieces of the cake. How many pieces of cake did Audrey’s brothers have?

Answer 1

Audrey's brothers had 5/64 of the cake.

Step-by-step explanation:

Audrey ate 1/16 of the cake, so there were 15/16 of the cake left.

Her school friends ate 3/4 of the cake, so they consumed (3/4)*(15/16) = 45/64 of the cake.

This means there were (15/16) - (45/64) = 15/64 of the cake left.

Audrey's two brothers together ate 1/3 of the remaining pieces of the cake, so they consumed (1/3)*(15/64) = 5/64 of the cake.

Therefore, Audrey's brothers had 5/64 of the cake.