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?
Accepted Solution
A:
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.