Published on ginnyent.net on 28th February, 2019
Phosphor-bronze is a mixture of copper, tin and phosphorus in the ratio by mass 185:14:1. Find the mass of copper in a phosphor-bronze casting of mass 27.2kg.
Total ratio = 185 + 14 + 1
Mass of copper in the 27.2kg phosphor-bronze =
ratio of copper/total ratio × mass of the phosphor-bronze
= 185/200 × 27.2
= 25.61kg [Answer]
Two builders share 11 tonnes of brick so that one has one-and-half times as many as the other. The total cost is $22, 750.00. How much does each pay?
Let their shares of the cost of the bricks be x and one-and-half of x;
If you change one-and-half into an improper fraction, you will have 3/2.
So their shares of the cost are 3/2 of x and x.
Total ratio = 5/2(x).
[Add the two shares to get 5/2(x)]
Now we are going to find x.
5/2(x) = $ 22750
Make x the subject of the equation
x = $22750 × 2
x = $9100 [Answer]
So one builder pays $9100; while the other builder pays:
3 /2(x) = 3 × 9100
= $ 13, 650 [Answer]