H has three times as many cards as R has. If H gives 50 cards to R, R will have three times as many cards as H has. How many cards does H have?

Correct option is C

Given:

H has three times as many cards as R.

If H gives 50 cards to R, R will have three times as many cards as H.

Solution:
Let the number of cards R has be x. Then the number of cards H has is 3x.

After H gives 50 cards to R, H will have 3x - 50 cards, and R will have x + 50 cards.

The second condition states that after the transfer, R will have three times as many cards as H:

x + 50 = 3(3x - 50)

x + 50 = 9x - 150

50 + 150 = 9x - x

200 = 8x

x = 25

So, R has x = 25 cards. Since H has three times as many cards as R, H has:

3x = 3 × 25 = 75
H has 75 cards.