Three girls shared a cake .A gets 3/8 of the cake , B gets 1/4 of the remainder . How much does C get ?
To find out how much C gets, we need to go step by step.
1. First, let's find out how much cake is left after A takes 3/8 of it.
We have one whole cake. A takes 3/8 of it, leaving us with 1 - 3/8 = 5/8 of the cake.
2. Now, we need to find out how much B gets from the remaining 5/8 of the cake.
B gets 1/4 of the remainder, which means B gets (1/4) * (5/8) of the cake. To calculate this, we multiply the two fractions:
(1/4) * (5/8) = (1 * 5) / (4 * 8) = 5/32.
So, B gets 5/32 of the cake.
3. Finally, to find out how much C gets, we need to subtract the portion A and B have already taken from the original cake.
We started with a whole cake, A took 3/8, and B took 5/32. So to find out how much is left for C, we subtract A's and B's portions from the whole cake:
1 - 3/8 - 5/32 = 32/32 - 12/32 - 5/32 = 15/32.
Therefore, C gets 15/32 of the cake.
3/8 + (1/4)(5/8) + x = 1
how about multiplying each term by 32
12 + 5 + 32x = 32
32x = 15
x = 15/32
check:
3/8 + 5/32 + 15/32
= 32/32 = 1