40 kg of an alloy M is mixed with 100 kg of
alloy N. if alloy M has silver and gold in ratio
3:2 and alloy N has silver and gold in ratio
1:4, then the ratio of silver and gold in the
new alloy is
Select one:
O a 11:24
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The ratio of silver and gold in the new alloy is 11 : 24.
Given:
quantity of alloy M = 40 kg
quantity of alloy N = 100 kg
the ratio of silver and gold in alloy M = 3 : 2
the ratio of silver and gold in alloy N = 1 : 4
To Find:
the ratio of silver and gold in the new alloy
Solution:
weight of the new alloy will be = 40 + 100 = 140 kg
weight of gold in alloy M = 2/5 × 40 = 16 kg
weight of gold in alloy N = 4/5 × 100 = 80 kg
⇒ weight of gold in the new allow = 16 + 80 = 96 kg
therefore, the weight of silver in the new alloy = 140 - 96 = 44 kg
So, the ratio of silver and gold in the new alloy = 44 : 96
= 11 : 24
Thus, the ratio of silver and gold in the new alloy is 11 : 24.
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