Question

what should be subtracted from each term in the ratio 5 ratio 6 so that it becomes 8 ratio 11?

Answer 1

-3 would be subtracted from 5 and -5 is subtracted from 6 so that they becomes 8 and 11 respectively

Answer 2

Explanation:

• Firstly treat the ratios as fractions 6:5 to 6/5 and 11:15 as 11/15

• Let 'x' be the value you take from the terms 6 and 5.

• The Equation then becomes (6 - x)/(5 -x) = 11/15

• You get 15 (6-x) = 11 (5-x) by cross multiplying

1. Solve for 'x'
2. 90-15x = 55 - 11x
3. 90 55 15x - 11x

• 35 = 4x results in x = 8.75 which is your answer

• Substitute this in your equation above and you will see it equals 0.733333 which is the same as 11/15 the ratio 11:15.

Tip, remember when checking the equation a minus divided by a minus comes out positive!