Question

a machine can stamp 36 bottle caps in 10 seconds copy and complete the table. At this rate, how many bottle caps can the machine stamp in 5 minutes? At this rate, how many minutes will it take to stamp 24,408 bottle caps?

Answer 1

1. From the question the machine stamps 36 caps in 10 seconds

In 5 minutes it will cap

`\begin{gathered} 5\text{ minutes = 5 }*\text{ 60 seconds } \\ =300\text{ seconds } \\ 36\text{ }\rightarrow\text{caps in 10 seconds } \\ x\text{ }\rightarrow\text{caps in 300 seconds } \\ \text{cross multiplying we have } \\ 36*300=10* x \\ 10800=10x \\ x=(10800)/(10) \\ x=1080 \end{gathered}`

So in 5 minutes, it would stamp 1080 bottle caps

2. Minutes it would take to stamp 24,408 bottle caps?

`\begin{gathered} 1080\text{ }\rightarrow\text{caps in 5 minutes } \\ 24,408\rightarrow caps\text{ in }x\text{ minutes } \\ \text{cross multiplying we have } \\ 1080* x=24,408*5 \\ 1080x=122040 \\ x=(122040)/(1080) \\ x=113\text{ minutes } \end{gathered}`

Hence it would take 113 minutes to stamp 24,408 bottle caps