Question
There are 120 balloons of three different colours in a
box. The ratio of red balloons to yellow balloons is 2:3, and the ratio of red balloons to green balloons is 4:5. How many red balloons are there?Solution
Let number of red balloons be 2x Yellow balloons = 2x × (3/2) = 3x Green balloons = 2x × (5/4) = 2.5x ATQ: 2x + 3x + 2.5x = 120 Or, 7.5x = 120 So, x = 16 Number of red balloons = 2 × 16 = 32
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