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Joakim is icing 30 cupcakes. He spreads mint icing on 1/5 of the cupcakes and chocolate on 1/2 of the remaining cupcakes. The rest get vanilla icing. How many get vanilla icing?

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proz

Answer:

The answer is 3/10

Step-by-step explanation:

Let the fraction of cake that gets vanilla icing be 'm'

since the three fractions add up to a whole cake (1):

1/5 + 1/2 + m = 1

[tex]\frac{1}{5} +\frac{1}{2} +m = 1[/tex]

[tex]\frac{1}{7} + m=1[/tex]

∴ [tex]m=1-\frac{7}{10} \\m=\frac{3}{10}[/tex]

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