Henry, Brian and Colin share some sweets in the ratio 5:4:2. Henry gets 15 more sweets than Colin. How many sweets does Brian get?

Question

Mathematics

Short Shorts

4 May, 12:44

Henry, Brian and Colin share some sweets in the ratio 5:4:2. Henry gets 15 more sweets than Colin. How many sweets does Brian get?

+3

Answers (1)

Know the Answer?

Augustus Whitney · Answer 1

20 sweets.

Step-by-step-explanation:

Let Colin have x sweets.

The Henry gets x+15 sweets

Then according to the ratios:

5/2 = x+15/x

5x = 2x + 30

3x = 30

x = 10.

So Colin has 10 sweets.

The ratio of Brian's sweets to Colin's sweets is 4: 2 or 2:1.

So Brian has 2 * 10 = 20 sweets.