Respuesta :
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.
[tex]\text{Cupcakes with mint icing}=30\times \frac{1}{5}[/tex]
[tex]\text{Cupcakes with mint icing}=6[/tex]
We have been given that 1/2 of the remaining cupcakes have chocolate icing.
[tex]\text{Cupcakes with chocolate icing}=\frac{30}{2}[/tex]
[tex]\text{Cupcakes with chocolate icing}=15[/tex]
We have been given that remaining cakes have vanilla icing.
[tex]\text{Cupcakes with vanilla icing}=30-(6+15)[/tex]
[tex]\text{Cupcakes with vanilla icing}=30-21[/tex]
[tex]\text{Cupcakes with vanilla icing}=9[/tex]
Therefore, 9 cupcakes will have vanilla icing.
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 [tex]\frac{1}{5}[/tex] of the cupcakes.
Let be "m" the number of cupcakes that have mint icing. Then
[tex]m=(30)(\frac{1}{5})=6[/tex]
He spreads chocolate on [tex]\frac{1}{2}[/tex] of the remaining. The remaining is:
[tex]30\ cupcakes-6\ cupcakes=24\ cupcakes[/tex]
Let be "c" the number of cupcakes that have chocolate. Then
[tex]c=(24)(\frac{1}{2})=12[/tex]
Let be "v" the number of cupcakes that have vanilla icing.
Since the rest will get vanilla icing, we know that:
[tex]v=12[/tex]
