Question

Travis,Jessica ,and Robin are collecting donations for the school band.Travis wants to collect 20% more than Jessica,and Robin wants to collect 35% more than Travis.If the students meet their goals and Travis collects $4,how much money did they collect in all?

Answer 1

They collected $12.73 in all.

Explanation:

This problem can be solved by a simple system of equations.

I am going to say that x is the quantity that Travis collects, y the quantity that Jessica collects and z the quantity that Robin collects.

The problems asks how much money did they collect in all?

So
`T = x + y + z`

Solution

The problem states that Travis wants to collect 20% more than Jessica, so:

`100%x = (100%+ 20%)y`

`100%x = 120%y`

`x = 1.2y`

Robin wants to collect 35% more than Travis, so:

`100%z = (100%+35%)x`

`100%z = 135%x`

`z = 1.35x`

Travis collects $4, so
`x = 4`. So:

`x = 1.2y`

`1.2y = 4`

`y = (4)/(1.2)`

`y = 3.33`

------------

`z = 1.35x = 1.35(4) = 5.40`

The total is:

`T = x + y + z = 4 + 3.33 + 5.40 = $12.73`

They collected $12.73 in all.