A statue is made up of iron and nickel in a ratio of 2:7 . If the statue weighs 81 pounds, what is the weight of the nickel in the statue ?
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then you get the weight of the nickel
sorry I was helping with another question.. I'll do verification in a bit.
@cc swims I did it
I got 18 & 63
If the statue has a ratio of iron to nickel of 2:7, it could have:
2 * 1 lb + 7 * 1lb
2 * 2 lb + 7 * 2 lb
2 * 3 lb + 7 * 3 lb
2 * 4 lb + 7 * 4 lb
All the above are in a 2:7 ration, but we don't know which number to multiply both parts of the ratio by, so we call that unknown x.
The ratio is 2x : 7x
Since the total weight is 81 lb, we write the equation
2x + 7x = 81
9x = 81
x = 9
Then 2x = 2(9) = 18, and 7x = 7(9) = 63
The statue has 18 lb of iron and 63 lb of nickel.