Three girls shared a cake. A get 3/8 of the cake, B get 1/4 of the remainder. How much does C get?
After A, 5/8 remain.
So, how much did B get?
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To find out how much C gets, we need to follow a few steps.
Step 1: Find out how much cake A gets.
It is given that A gets 3/8 of the cake.
Step 2: Find out how much remains after A takes her share.
To find out how much remains, we subtract A's share from the whole cake, which is 1 whole.
1 - 3/8 = 8/8 - 3/8 = 5/8
So, 5/8 of the cake remains after A takes her share.
Step 3: Determine how much cake B gets.
It is given that B gets 1/4 of the remainder.
To find out how much B gets, we multiply the remainder (5/8) by 1/4.
(5/8) * (1/4) = 5/32
Therefore, B gets 5/32 of the cake.
Step 4: Find out how much cake C gets.
Since we know how much cake A and B received, we can determine how much cake C gets by subtracting the shares of A and B from the whole cake.
Let's calculate:
Whole cake - (A's share + B's share) = C's share
1 - (3/8 + 5/32) = 1 - (12/32 + 5/32) = 1 - (17/32) = 15/32
Therefore, C gets 15/32 of the cake.
To recap:
A gets 3/8 of the cake.
B gets 5/32 of the cake.
C gets 15/32 of the cake.