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?

steve, you are wrong,when Roberto gives half of 12to David he will have 6 and david will have 22 so the ratio is 3:11

Yes Phoebe is right

Why is math so hard :(

phoebe u better be right

Is phoebe right

Is Phoebe right??

To solve this problem, let's break it down step by step.

Step 1: Express the situation algebraically
Let's assume the number of David's cards is "x". According to the problem, Roberto has 3/4 of David's cards. So, the number of Roberto's cards can be represented as (3/4)x.

Step 2: Find out how many cards Roberto gives to David
The problem states that Roberto gives 1/2 of his cards to David. So, he will give away (1/2)*(3/4)x = (3/8)x cards.

Step 3: Calculate the remaining cards
After giving half of his cards, Roberto will have (3/4)x - (3/8)x = (6/8)x - (3/8)x = (3/8)x cards left.

Step 4: Calculate the ratio of Roberto's cards to David's cards after sharing
The remaining cards after Roberto gives half to David is (3/8)x. The number of David's cards remains x. Therefore, the ratio of Roberto's cards to David's cards is (3/8)x : x.

Step 5: Simplify the ratio
To simplify the ratio, we divide both the numerator and denominator by x (the number of David's cards). This gives us 3/8 : 1, which can also be expressed as 3 : 8.

So, the ratio of Roberto's cards to David's cards after Roberto gives half of his cards to David is 3 : 8.

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?

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