Question

Hello.

I need help with this question please.

A bag contains red, blue and yellow counters in the ratio 2:3:5
a) What fraction of the counters are red?
b) 9 of the counters are blue. How many of the counters are yellow?
c) How many counters are in the bag?

Pls reply with answers to a,b and c please.

Thanks​

Answer 1

a) 2/10

b) 15

c) 30

Explanation:

Ratio: 2:3:5 = R:B:Y

If we add them all together, we can find the denominator for the fraction of how many counters are in the bag. 2+3+5 = 10.

If the ratio for R = 2, then the fraction is 2/10 (simplified)

If 9 of the counters are blue, to find the number of the other counters, we multiply the ratio numbers by 3 (because 3 x 3 is 9). So, the number of red counters is (2x3) 6, blue is 9, and yellow is (5x3) 15.

Now, to find the total amount, we can add 6, 9, and 15 together to get 30.

Hope this helps. If you require further explanation, let me know!

- profparis