Josh and his brother earn points when they do house chores. The ratio of Josh's points to his brother's points is 4:3. Together, they have 420 points. How many points does each boy have?

The correct answer is Josh has 240 points and his brother has 180 points

Explanation:

The ratio 4:3 means for every four points Josh has, his brother has three points. Now, to find how many points each boy has if there are 420 points, follow this process:

1. Use the ratio to write the equivalent fraction

4 : 3 =

2.  Find the total number of parts

4 + 3  = 7

3. Divide the total number into the parts

420 ÷ 7 = 60 (each of the part is equivalent to 60)

4. Multiply the value of each part by each section of the ratio

4 × 60 = 240 - This represents the number of points Josh has if there are 420 points

3 × 60 = 180 - This represents the points Josh's brother has

This means Josh has 240 points and his brother has 180 points

Lets look at the possible factors of 24. 24*1, 12*2, 8*3, and 6*4. Only 8 and 3 have a difference of 5, so the rectangle has the dimentions of 8 by 3.