SOLUTION: Hi A box of marbles was shared by D and E . D received 96 marbles. After D gave 25 percent of his marbles to E share increased by 12 percent. How many marbles did they have. T

Question 1188259: Hi
A box of marbles was shared by D and E . D received 96 marbles. After D gave 25 percent of his marbles to E share increased by 12 percent. How many marbles did they have.
Thanks
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
let 96 equal the number of marbles that D had.
let x equal the number of marbles that E had.

D gives 25% of his marbles to E.
.25 * 96 = 24.
this means D gives 24 marbles to E.

the increase in how many marbles E has is 24.
that represents 12% of the marbles that E originally had.
24/.12 = 200.
that means that E originally had 200 marbles.

to see if this makes sense, do the following:

D had 96 marbles.
E had 200 marbles.
D gives 24 marble to E.
this represents an increase of 12% in the number of marbles that E had.
24/200 = .12 = 12%.
this confirms the number of marbles that E original had are correct.

another way to look at it.

E had x marbles.
after getting 24 marbles, E had x + 24 marbles.
x + 24 = 1.12 * x
subtract x from both sides of the equation to get:
24 = 1.12 * x - x = .12 * x
divide both sides of the equation by .12 to get:
24 / .12 = x
solve for x to get:
x = 200.

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