Question

Finley makes 11 batch of her favorite shade of orange paint by mixing 55 liters of yellow paint with 33 liters of red paint. How many batches of orange paint can Finley make if she has 1515 liters of red paint?

Answer 1

505 batches

Explanation:

Step 1

The first step is to realize that there is direct proportionality between the amount of red paint and the batches of orange paint made. we know that 33 liters of red paint is used to make 11 batches of orange paint.

Step 2

In this step we set up the ratios and solve the equation to find the number of batches that can be made from 1515 liters of red paint. Not that we will use the method of cross multiplication to work out the correct number of batches. Let
`x` be the number of batches made using 1515 liters of red paint, we can calculate the number of batches as shown below,

`33\rightarrow 11\\1515\rightarrow x\\\implies (33)x=(1515)(11)\\\implies 33x=(1515)(11)\\\implies x=((1515)(11))/(33) \\\implies x=505`

with 1515 liters of red paint, we can make 505 batches of orange paint.