reducer math question

Question

To mix paint it requires 3 parts hardener to 7 parts paint. How many ounces of hardener are needed (round to the nearest tenth) to create 18 ounces of this mixture?

Answer 1

The first thing is to realize what the ration means. The total parts of a mixture of paint is 10. Of this ten, three parts of the mixture will be hardener. This means that 30 % of the mixture will be hardener. To find out how much hardener is needed, we multiply 30% by 18 to give us:

30% = 0.3 30% is the same as 0.3(Message me if you want me to explain this concept.)

0.30 x 18 = 5.4

The mixture will take 5.4 ounces. In addition, this means, that 12.6 ounces of paint will be used.

In math problems, it is always good to check your problems. For this problem, the ratios of 3:7 and 5.4: 12.6 are the same, which means our answer is correct, .