Question

In a collection of red, blue, and green marbles, there are 25% more red marbles than blue marbles, and there are 60% more green marbles than red marbles. Suppose that there are $r$ red marbles. What is the total number of marbles in the collection?

Answer 1

The total number of marbles is 3.4*r

Explanation:

We have 25% more red than blue, so we can write the equation:

`red = 1.25*blue`

We have 60% more green than red, so:

`green = 1.6*red`

In total we have 'r' red marbles, so:

`red = r`

The total number of marbles in the collection is the sum of all three amount of marbles:

`total = red + blue + green`

`total = red + (red/1.25) + 1.6*red`

`total = r + 0.8*r + 1.6*r`

`total = 3.4*r`

The total number of marbles is 3.4*r