Question

1. Here is a tape diagram representing the ratio of red paint to yellow paint in a mixture of orange paint. 3 3 3 a. What is the ratio of yellow paint to cups of red paint red paint? cups of yellow paint b. How many total cups of orange paint will this mixture yield? 3 3

Answer 1

a. The ratio of yellow paint to cups of red paint red paint is 3 : 2.

b. The total cups of orange paint that this mixture will yield is 15 cups of orange paint.

In Mathematics and Euclidean Geometry, a ratio is a mathematical expression that denotes the proportion of two or more quantities with respect to one another and the total quantities.

Part a.

Based on the information provided above, the ratio of yellow paint (Y) to red paint (R) can be written as follows;

Ratio of Y to R = 2(3) : 3(3).

Ratio of Y to R = 6 : 9

Ratio of Y to R = 2 : 3

Part b.

The total cups of orange paint that this mixture will yield can be calculated as follows;

Total otal cups of orange paint = 2(3) + 3(3)

Total otal cups of orange paint = 6 + 9

Total otal cups of orange paint = 15 cups of orange paint.

Answer 2

This problem is about tape diagrams which are used to help the student to visualize the problem.

In this case, we have three portions of red paint, and 2 portions of yellow paint, this means the ratio of red paint to yellow paint is 3:2.

On the other hand, the ratio of yellow paint to red paint is 2:3 (a), the opposite.

Since we have three cups of red paint and two cups of yellow paint, we can deduct that the mixture has 5 cups in total. (b) Since it's the sum.