Question

Lewis has a bag of colored marbles. The bag contains 24 red marbles, 36 blue marbles, and 60 yellow marbles. What are the ratios of the number of red marbles, blue marbles, and yellow marbles to the total number of marbles? A. Red = 1:5; blue = 3:10; yellow = 1:2 B. Red = 2:3; blue = 3:5; yellow = 1:2 C. Red = 1:5; blue = 3:5; yellow = 1:2 D. Red = 1:2; blue = 3:10; yellow = 1:5

Answer 1

To find the ratios of each color marble to the total number of marbles, we sum the total marbles and then divide the number of each colored marble by this total. The correct ratios are Red = 1:5, Blue = 3:10, and Yellow = 1:2, corresponding to answer A.

Step-by-step explanation:

The student is looking to find the ratios of red, blue, and yellow marbles to the total number of marbles. To find these ratios, we first need to calculate the total number of marbles in the bag by adding the red, blue, and yellow marbles together: 24 (red) + 36 (blue) + 60 (yellow) = 120 total marbles. Then, we can calculate the ratio of each color marble to the total number of marbles.

Red marble ratio = 24 (red marbles) / 120 (total marbles) = 1:5

Blue marble ratio = 36 (blue marbles) / 120 (total marbles) = 3:10

Yellow marble ratio = 60 (yellow marbles) / 120 (total marbles) = 1:2

Comparing the calculated ratios with the provided options, we conclude that the correct ratios are:

Red = 1:5

Blue = 3:10

Yellow = 1:2

Therefore, the correct answer is A. Red = 1:5; blue = 3:10; yellow = 1:2.

Answer 2

The correct answer is A. Why?

We will make proportion

r : b : y = 24 : 36 : 60 we can divide whole proportion with number 12 and get

r : b : y = 2 : 3 : 5

Red : Total = 2 : 10= 1 : 5 Blue : Total = 3 : 10

and Yellow : Total = 5 : 10 = 1 : 2

Good luck!!!