SOLUTION: Two alloys contain silver and copper in the ratios 3:1 and 5:3 respectively.The alloys are mixed to get a third alloy.Which of the following is the possible ratio of silver to copp
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Question 364433: Two alloys contain silver and copper in the ratios 3:1 and 5:3 respectively.The alloys are mixed to get a third alloy.Which of the following is the possible ratio of silver to copper in the third alloy ?
1.5:2
2.3:2
3.4:1
4.2:3 Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Two alloys contain silver and copper in the ratios 3:1 and 5:3 respectively.
The alloys are mixed to get a third alloy.
Which of the following is the possible ratio of silver to copper in the third alloy ?
1.5:2
2.3:2
3.4:1
4.2:3
:
let a = 3:1 amt
let b = 5:3 amt
Write an equation assuming the 1st answer is possible, a + b = (a + b)
let a = 10 find b (10) + b = (b+10)
30 + b = (b+10)
multiply by 6 to clear the denominators,results:
6(30) + 10b = 15(b+10)
180 + 10b = 15b + 150
180 - 150 = 15b - 10b
30 = 5b
b =
b = 6, so this is a possible answer
:
Do the same with the 2nd answer a + b = (a + b)
let a = 10 find b (10) + b = (b+10)
30 + b = (b+10)
multiply by 6 to clear the denominators,results:
6(30) + 10b = 9(b+10)
180 + 10b = 9b + 90
10b - 9b = 90 - 180
b = - 90, negative, 5:2 is not a possible answer
:
How about the 3rd answer; 4:1
Do the same with the 2nd answer a + b = 4(a + b)
let a = 10 find b (10) + b = 4(b+10)
30 + b = 4(b+10)
multiply by 3 to clear the denominators,results:
3(30) + 5b = 12(b+10)
90 + 5b = 12b + 120
90 - 120 = 12b - 5b
-30 = 7b; another neg, so 4:1 is not possible either
:
You can try the last answer the same way but 2:3 cannot be possible from the
fact that 2 is less than 3.
