50% of cakes were party cakes, 1/5 were fruit cakes, and the remainder were sponge cakes. What percentage were sponge cakes?

Firtly we need to know how many percents is 1/5:
1/5 * 100% = 1 * 20% = 20%
So we have 50% of party cakes and 20% of fruit cakes. Now we can easily count that sponge cakes are 30%:
100% - 50% - 20% = 30%

Answered by SlowZasob | 2024-06-10

the total percentage is 100 %
there are party cakes, fruit cakes and sponge cakes
50 % of the cakes are party cakes
1/5th of the cakes are fruit cakes.
so 1/5th of 100 % is - 5 1 ​ ∗ 100 = 20%
therefore 20 % of the cakes are fruit cakes
remainder of the cakes were sponge cakes
the sum of the party and fruit cakes are - 50 % + 20 % = 70 %
remainder is 100 % - 70 % = 30 %
therefore 30 % of the cakes were sponge cakes

Answered by blahblahmali | 2024-06-11

The percentage of sponge cakes is 30%. This is calculated by first adding the percentages of party cakes and fruit cakes, then subtracting that total from 100%. Therefore, 30% of the cakes are sponge cakes.
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Answered by blahblahmali | 2024-09-04