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 : [tex]\frac{x}{5}[/tex] cupcakes
Person B makes 1 cupcake in 9 minutes.
Say in x minutes B makes : [tex]\frac{x}{9}[/tex] cupcakes
Total cupcakes prepared by A and B in x minutes = 168
[tex]\frac{x}{5}+\frac{x}{9}=168[/tex]
[tex]\frac{14x}{45}=168[/tex]
[tex]x=\frac{168\times 45}{14}=540[/tex]
So, cupcakes made by A = [tex]\frac{540}{5}=108[/tex]
Cupcakes made by B = [tex]\frac{540}{9}=60[/tex]
Person A made 108 cupcakes and person B made 60 cupcakes.
