Question
A 480 ml mixture has milk and
honey in the ratio 7:h. After adding 96 ml of milk and 24 ml of honey to this mixture, the ratio of milk to honey in the resulting mixture becomes 8:7. Determine the value of h.Solution
ATQ, Let, quantity of milk in 480 ml of mixture be ‘a’ ml So, quantity of honey in 480 ml of mixture = ‘480 – a’ ml According to question; (a + 96)/(480 – a + 24) = 8/7 Or, 7a + 672 = 4032 – 8a Or, 15a = 3360 Or, a = 224 Quantity of milk in the mixture (initially = 224 ml Quantity of honey in the mixture (initially) = 480 – 224 = 256 ml Ratio of milk to honey in the mixture (initially) = 224:256 = 7:8 So, h = 8
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