In a box of marbles, the ratio of red marbles to total marbles is 2:5. the ratio of green marbles to total marbles is 3:10. if the marbles that are neither red nor green are blue, how many blue marbles are in the box if there are 40 marbles in the box?

Ratio:

Red : Total
2 : 5
(x2) (x2)
4 : 10

Green : Total
3 : 10

Total of red and green marbles = 4 + 3 = 7

Blue marbles = 10 - 7 = 3

10 parts = 40 marbles
1 part = 40 ÷ 10 = 4
3 parts = 4 x 3 = 12

Answer: There are 12 blue marbles.

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abidemiokin abidemiokin · Answer 2 · 2021-11-16T11:16:47+01:00

There are 12 blue marbles in the box if there are 40 marbles in the box

Give ratio of red marbles to total marbles is 2:5. the ratio of green marbles to total marbles is 3:10

red/total = 2/5 * 2/2

red/total = 4/10

Similarly, green/total = 3/10

This shows that the total number of red and green marbles is 7 marbles

If the remaining are blue, the total number of blue marbles is expressed as:

Blue marbles = 10 - 7 = 3 blue marbles

Since the total number of marbles is 40 marbles;

Number of blue marbles = 3/10 * 40

Number of blue marbles = 12 marbles

Hence there are 12 blue marbles in the box if there are 40 marbles in the box

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