Q10 of 15 Page 118

Two different types of stainless steel contain Chromium and Steel in the ratio of measurement of 2:11 and 5:21 respectively. Let’s work out in what proportion these two types of steel should be mixed, so that the ratio of measurement of Chromium and Steel becomes 7:32.

Ratio of chromium and steel in first type stainless steel = 2:11


Ratio of chromium in first type stainless steel


Ratio of steel in first type stainless steel


Ratio of chromium and steel in second type stainless steel = 5:21


Ratio of chromium in second type stainless steel


Ratio of steel in second type stainless steel


Suppose kg of first type and y kg of second type stainless steel taken and mixed so that the ratio of measurement of Chromium and Steel becomes 7:32


Then, ratio of chromium in new mixture


Quantity of chromium in new mixture


Total quantity of new mixture = (x +y)


hence,




⇒


⇒ 12x + 15 y = 14x + 14y


⇒ 14x – 12x = 15y – 14y


⇒ 2x = y


⇒


x: y = 1:2


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