Ratio and Proportion:
1. An alloy is to contain copper and lead in the ratio 3:5. The required to be melted with 27 kg of copper is:
Solution:
Let
the required lead to be melted be x.
3:5
:: 27:x
3x = 5*27
x = 45.
2. 40 kg of an alloy
X is mixed with 90 kg of alloy Y. If alloy X has zinc and tin in the ratio 2:3
and alloy Y has tin and lead in the ratio 4:5, then the amount of tin in the
new alloy is :
Solution:
Let
the amount of tin in the new alloy be a.
Amount of tin in X and Y:
(40/5)*3 = 24. (In alloy X)
(90/9)*5 = 50. (In alloy Y)
a =
24+50
= 74.
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