Alex bought a total of 65 more raffle tickets than Juan. Together they bought 343
raffle tickets. How many raffle tickets did each download?

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Barcajosecarbonellidn Barcajosecarbonellidn

05-02-2021
Mathematics

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Alex bought a total of 65 more raffle tickets than Juan. Together they bought 343
raffle tickets. How many raffle tickets did each download?

Sagot :

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LanceLongFeiidn LanceLongFeiidn · Answer 1 · 2021-02-05T14:29:44-05:00

Answer:

Juan bought 139 tickets and Alex bought 204.

Step-by-step explanation:

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

Sagot :

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