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A sack contains red, blue, and yellow marbles. The ratio of red marbles to blue marbles to yellow marbles is 3:4:8. If there are 24 yellow marbles in the sack, how many total marbles are in the sack?
A. 45
B. 48
C. 72
D. 96
E. 144
Correct Answer: A
Explanation/Reference:
Explanation:
The number of yellow marbles, 24, is 24 ÷ 8 = 3times larger than the number of marbles given in the ratio. Multiply each number in the ratio by 3 to find the number of each color of marbles. There are 3 x 3 = 9 red marbles and 4 x 3 = 12 blue marbles. The total number of marbles in the sack is 24 + 9 + 12 = 45.
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