A and B are two alloys of gold and copper prepared by mixing metals in ratios 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C, the ratio of gold and copper in C will be?Options7 : 59 : 55 : 75 : 9
Question
A and B are two alloys of gold and copper prepared by mixing metals in ratios 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C, the ratio of gold and copper in C will be?Options7 : 59 : 55 : 75 : 9
Solution
To solve this problem, we need to follow these steps:
-
First, let's assume that the equal quantity of alloys A and B that are mixed together is 1 unit each.
-
In alloy A, the ratio of gold to copper is 7:2. This means that in 1 unit of alloy A, there is 7/9 units of gold and 2/9 units of copper.
-
In alloy B, the ratio of gold to copper is 7:11. This means that in 1 unit of alloy B, there is 7/18 units of gold and 11/18 units of copper.
-
When we mix equal quantities of alloys A and B to form alloy C, the quantity of gold in alloy C will be the sum of the quantities of gold in alloys A and B. Similarly, the quantity of copper in alloy C will be the sum of the quantities of copper in alloys A and B.
-
Therefore, the quantity of gold in alloy C is 7/9 + 7/18 = 14/18 + 7/18 = 21/18 = 7/6 units.
-
The quantity of copper in alloy C is 2/9 + 11/18 = 4/18 + 11/18 = 15/18 = 5/6 units.
-
Therefore, the ratio of gold to copper in alloy C is 7/6 : 5/6 = 7:5.
So, the correct option is 7:5.
Similar Questions
Gold in 20 times as heavy as water and copper is 10 times as heavy as water. In what ratio these two metals be mixed so that the alloy is 13 times as heavy as water is Options : A] 2:7 B] 3:7 C] 1:2 D] 2:3
40 kg of an alloy A mixed with 100 kg of alloy B. If alloy A has lead and copper in the ratio 3:2 and alloy B has copper and tin in the ratio 1:3., then the amount of copper in the new alloy is ________?
The ratio of two metals, iron and nickel, present in an alloy were shown to be 4 : 3 respectively. If the alloy has a weight of 50 g, work out the weights of the two metals.
Gold is 19 times as heavy as water and copper 9 times. In what ratio should these metals be mixed so that the mixture may be 15 times as heavy as water?Options :1 : 23 : 22 : 34 : 5
An alloy contains Brass, Iron and Zinc in the ratio 2:3:1 and another contains Iron, zinc and lead in the ratio 5:4:3.If equal weights of both alloys are melted together to form a third alloy, then what will be the weight of lead per kg in new alloy?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.