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

Answer:

They collected $12.73 in all.

Step-by-step 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:

$x = 1.2y$

$1.2y = 4$

$y = \frac{4}{1.2}$

$y = 3.33$

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

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

The total is:

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

They collected $12.73 in all.