Question

Person A can make a cupcake in 5 minutes, Person B can make a cupcake in 9 minutes. In total they made 168 cupcakes. How many cupcakes did each person make?

Answer 1

Answer:

Person A made 108 cupcakes and person B made 60 cupcakes.

Step-by-step explanation:

Person A makes 1 cupcake in 5 minutes.

Say in x minutes A makes : $\frac{x}{5}$ cupcakes

Person B makes 1 cupcake in 9 minutes.

Say in x minutes B makes : $\frac{x}{9}$ cupcakes

Total cupcakes prepared by A and B in x minutes = 168

$\frac{x}{5}+\frac{x}{9}=168$

$\frac{14x}{45}=168$

$x=\frac{168\times 45}{14}=540$

So, cupcakes made by A = $\frac{540}{5}=108$

Cupcakes made by B = $\frac{540}{9}=60$

Person A made 108 cupcakes and person B made 60 cupcakes.