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Question 1084177: what would be the formula for the question below
In what ratio must 35 be increased to become 49.
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! the ratio of 49 to 35 is equal to 49/35 = 7/5
you would multiply 35 by 7/5 to make it become 49.
you would increase 35 by (7/5 - 5/5) = 2/5 to make it become 49.
35 * 7/5 = 49
35 + 35 * 2/5 = 49
7/5 is equal to 1.4
2/5 is equal to .4
35 * 7/5 is the same as 35 * 1.4 which is the same as 35 * (1 + .4) which is equal to 35 + .4 * 35 = 49
35 + 2/5 * 35 is the same as 35 + .4 * 35 which is equal to 35 * (1 + .4) which is equal to 35 * 1.4 = 49
so, ........
if you want to know what ratio you need to multiply 35 by in order to get 49, you would get that ratio as 49/35 = 7/5 = 1.4
if you want to know what ratio you have to add to 35 in order to get 49, you would get that ratio as (49 - 35) / 35 = 14/35 = 2/5 = .4
i believe your question is in what ratio does 35 have to be INCREASED.
that would indicate 2/5 would be the answer as best i can determine.
35 + 2/5 * 35 = 49
when you are dealing with percents, you are faced with the same type of problem.
percent and ratios are related in that percent is equal to 100 * ratio and ratio = percent / 100.
the ratio is also called the decimal equivalent of the percent.
example:
what percent is 100 of 50?
it is 100/50 = 2 (that's the ratio) * 100 = 200% (that's the percent).
what percent is 100 more than 50, or:
what percents does 50 have to be increased by to equal 100?
it is (100 - 50) / 50 = 1 (that's the ratio) * 100 = 100% (that's the percent.
100 is 100% more than 50.
100 is an increase of 100% over 50.
you would have to increase 50 by 100% in order to get 100.
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