Question

Two alloys a and b contain gold and copper in the ratios of 2:3 and 3:7 by mass, respectively. equal masses of alloys a and b are melted to make an alloy


c. the ratio of gold to copper in alloy c is ______.

Answer 1

Given that equal masses of alloy A and alloy B are melted to make an alloy

so Let alloy A= Alloy B = 900kg

then Total mass of alloy C will be 900 + 900 =1800kg
Gold and copper quantity in alloy A is on the ratio of 2:3 =
Gold = 900kg ×2/3=600 kg
copper= 900kg ×1/3 = 300kg

Gold and copper quantity in Alloy B is in the ratio of 3:7=

Gold = 900 ×3/10 =270kg

Copper= 900×7/10 =630kg

Total of Gold in Alloy C = 600+270 = 870

Total of copper in alloy C= 300 + 630 =930

Then the ratio of Gold to copper in Alloy C will be
870 : 930 = 87 : 93

Answer 2

the ratio is 87: 93
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