Question

Bob and Nina make a dog leashes. Bob can make 7 lashes in 2 two hours and Nina can make 4 leashes in 1 hour enter the equation that can be used to find the numbers of hours, t, it takes Bob and Nina to make 60 leashes together Enter the numbers of hours t it takes Bob and Nina to make 60 leashes together

Answer 1

Bob can make 7 leashes in 2 hours, which means he can make 7/2 leashes in 1 hour. Nina can make 4 leashes in 1 hour.

It means that together, they can make 7/2 + 4 leashes in 1 hour. Use this information to write the equation required to find how many hours would it take for them to make 60 leashes.

`\begin{gathered} ((7)/(2)+4)t=60 \\ \end{gathered}`

Solve the sum in the parentheses to find the required equation in the simplest form:

`(15)/(2)t=60`

That is the equation that can be used to find the number of hours it takes for them to make 60 leashes.

Now, solve the equation for t to find the number of hours it takes for them to make the 60 leashes.

`\begin{gathered} (15)/(2)t=60 \\ t=60\cdot(2)/(15) \\ t=8 \end{gathered}`

It takes 8 hours for them to make 60 leashes.