Question

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 will get vanilla icing. How many cupcakes have vanilla icing?

Answer 1

Answer: 12 cupcakes have vanilla icing.

Step-by-step explanation:

 We know that Joakim is icing a total number of 30 cupcakes.

According to the exercise, Joakim spreads mint icing on $\frac{1}{5}$ of the cupcakes.

Let be "m" the number of cupcakes that have mint icing. Then

$m=(30)(\frac{1}{5})=6$

He spreads chocolate on $\frac{1}{2}$ of the remaining. The remaining is:

$30\ cupcakes-6\ cupcakes=24\ cupcakes$

Let be "c" the number of cupcakes that have chocolate. Then

$c=(24)(\frac{1}{2})=12$

Let be "v" the number of cupcakes that have vanilla icing.

Since the rest will get vanilla icing, we know that:

$v=12$

Answer 2

Answer:

9 cupcakes.

Step-by-step explanation:

We have been given that Joakim is icing 30 cupcakes. He spreads mint icing on 1/5 of the cupcakes.  

Let us find the number of cupcakes with mint icing.

$\text{Cupcakes with mint icing}=30\times \frac{1}{5}$

$\text{Cupcakes with mint icing}=6$

We have been given that 1/2 of the remaining cupcakes have chocolate icing.

$\text{Cupcakes with chocolate icing}=\frac{30}{2}$

$\text{Cupcakes with chocolate icing}=15$

We have been given that remaining cakes have vanilla icing.

$\text{Cupcakes with vanilla icing}=30-(6+15)$

$\text{Cupcakes with vanilla icing}=30-21$

$\text{Cupcakes with vanilla icing}=9$

Therefore, 9 cupcakes will have vanilla icing.