SOLUTION: A has 20% more more money than B, and C has 20% less money than B. what percent more money does A have than C ?

Question 935163: A has 20% more more money than B, and C has 20% less money than B. what percent more money does A have than C ?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
let A represent the amount of money that A has.
let B represent the amount of money that B has.
let C represent the amount of money that C has.

A = B + .20 * B = 1.20 * B

C = B - .20 * B = .8 * B

A / C = (1.20 * B) divided by (.8 * B) which is equal to 1.20 / .8 which is equal to 1.5

A has 1.5 * the amount of money that C has.

1.5 * C - C is equal to .5 * C.

A has 50% more money than C has.

let's see how this works out.

Assume that B has 100 dollars.

then:

A has 120 dollars.
C has 80 dollars.

A - C = 120 - 80 = 40

this means that A has 40 dollars more than C.

40 / 80 = .5 = 50%

this means that A has 50% more dollars than C has.

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