# math

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The number of Roberto's baseball cards is 3/4 the number of David's cards. If Roberto gives 1/2 of his cards to David, what will be the ratio of Roberto's cards to David's cards?

• math -

r = 3d/4, or 4r = 3d

r/2 / (3d/4 + r/2) = 2r/(3d+2r) = 2r/6r = 1/3

check:

If Roberto has 12 cards, David has 16
After Robert gives David 6,

6/18 = 1/3

• math -

the number of roberto's baseball cards is 3/4 the number of david's cards. if roberto gives 1/2 of his cards to david, what will be the ratio of roberto's cards to david's cards?

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