Question

Selmas class making a care package to give to victims of a natural disaster.Selma packs one box in 5 minutes and has already packed 12 boxes. Her friend Trudy packs one box in 7 minutes and has already packed 18 boxes. How many more minutes does each to work in order to have packed the same number of boxes?

Answer 1

Each of them need to work 105 minutes more in order to have packed the same number of boxes.

Step-by-step explanation

Suppose, they need to work for
`x` minutes more in order to have packed the same number of boxes.

Selma packs one box in 5 minutes and Trudy packs one box in 7 minutes.

So, the number of boxes packed by Selma in that
`x` minutes
`=(x)/(5)` and the number of boxes packed by Trudy in
`x` minutes
`=(x)/(7)`

Given that, Selma and Trudy have already packed 12 and 18 boxes.

Now if each of them packed the same number of boxes, then the equation will be......

`12+(x)/(5)=18+(x)/(7)\\ \\ (x)/(5)-(x)/(7)= 18-12\\ \\ (7x-5x)/(35)=6\\ \\ (2x)/(35)=6\\ \\ 2x= 210\\ \\ x= (210)/(2)=105`

So, each of them need to work 105 minutes more in order to have packed the same number of boxes.