Question

A bowl contains 675 sweets which are coloured either red, blue or green. The ratio of red sweets to blue sweets is 3:7 The ratio of blue sweets to green sweets is 4:5 Calculate the number of blue sweets that are in the bowl.​

Answer 1

Answer:

252 blue sweets.

Answer 2

The number of blue sweets that are in the bowl is 252

Given:

Red sweets ; Blue sweets =3:7

Blue sweets ; Green sweets = 4:5

Red sweets+ Blue sweets+Green sweets =675

Let:

R represent Red sweets

B represent Blue sweets

G represent Green sweets

Hence:

First step

R/B = 3/7

R=3/7 B

B/G=4/5

G=5/4 B

Second step

3/7 +B+B+5/4B=675

12B+28B+35B/28 =675

=75/28B =675

B=675×28/75

B=9×28

B=252

Inconclusion the number of blue sweets that are in the bowl is 252

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