Question

Alex bought a total of 65 more raffle tickets than Juan. Together they bought 343

raffle tickets. How many raffle tickets did each download?

Answer 1

Juan bought 139 tickets and Alex bought 204.

Explanation:

Suppose Juan bought a total of
`x` tickets. Then Alex bought 65 more, which is
`x+65`. The sum of both totals is
`(x)+(x+65) = 2x + 65`, but we are also given that this is equal to 343. So
`2x+65 = 343`, and as such
`2x = 343-65=278`, so
`x = (278)/(2) = 139`. Therefore, Juan bought 139 tickets and Alex bought 65 more, which is 204.