what should be subtracted from each term in the ratio 5 ratio 6 so that it becomes 8:11?
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The number to be subtracted is "7"
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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
Solve for ‘x’
90 - 15x = 55 - 11x
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!
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