50% of all the cakes jenny baked that week were party cakes, 1/5 were fruits cake and the remainder were sponge cake. what is the percentage of the sponge cakes

Respuesta :

30%
1/5 is 0.2, or 20%. So 50%+20% = 70%. The remainder is 30%

Answer:

30% sponge cakes.

Step-by-step explanation:

We have been given that 50% of all the cakes jenny baked that week were party cakes, 1/5 were fruits cake.

Let us convert 1/5 into percentage as:

[tex]\frac{1}{5}\times 100\%[/tex]

[tex]0.2\times 100\%[/tex]

[tex]20\%[/tex]

Therefore, 20% of cakes are fruit cake.

Now, we will find remainder by subtracting 20 plus 50 percent from 100 percent as:

[tex]\text{Remainder}=100\%-(50\%+20\%)[/tex]

[tex]\text{Remainder}=100\%-70\%[/tex]

[tex]\text{Remainder}=30\%[/tex]

Therefore, the  percentage of the sponge cakes is 30%.