SOLUTION: Fill in the blanks to make a true statement. If we increase a by 10%, then we obtain b. If we increase b by 10%, then we obtain c. Overall, we can obtain c by increasing

Question 1210620: Fill in the blanks to make a true statement.

If we increase a by 10%, then we obtain b. If we increase b by 10%, then we obtain c. Overall, we can obtain c by increasing a by ___ %.
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39823) (Show Source): You can put this solution on YOUR website!
.

substitute for b.

Increase of a by 21% will result in c.
Answer by greenestamps(13355) (Show Source): You can put this solution on YOUR website!

A general discussion....

If a number x is increased by 13%, then the new number is x plus 13% of x, or

In most problems, percent increases (and percent decreases) are more easily thought of using multiplication instead of addition or subtraction. So instead of adding 13%, we multiply by 1.13.

This use of multiplication instead of addition or subtraction has HUGE advantages if the problem involves multiple successive percent increases and/or percent decreases.

Similarly, if we know that a number is 1.13 times its previous value, then we know the old number was increased by 13%.

In this problem, we have two consecutive increases of 10%. That means multiplying the original number by 1.10 (or just 1.1) and then multiplying it by 1.1 again. So

b = 1.1(a)
c = 1.1(b) = (1.1)(1.1)(a) = 1.21(a)

And from this we see that the overall increase is 21%.

ANSWER: 21%

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