Easy Logic

Algebra Level 2

We are walking along the street when we saw a P10-peso coin. Since I was the one who saw the coin, my share should be P1-peso more than your share. How much is my share?


The answer is 5.50.

Monalissa Medina by Monalissa Medina , 22, Philippines

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3 solutions

Let's say your friend's amount of money is x , and your amount of money is y . You can make the equation x + y = 10 . Then, set up another equation, y = x + 1 . You can substitute y for the first equation, resulting in x + (x+1) = 10. You can solve for that resulting in, 2x + 1 = 10. Then you would get 2x = 9. x would equal 4.5. But, that is your friend's share. Your share is 10-4.5 = 5.5 . So, your share is 5.5 pesos.

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Andrew Zhang
Jan 1, 2015

Set x as the person with less money, and x+1 as the person with more money. You get...

x+(x+1)=10

Then...

2x = 9

Later...

x = 4.5

But wait! You have x+1 coins, because you have more! Therefore....

x+1 coins 4.5+1 = 5.5

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Monalissa Medina
Sep 19, 2014

Mine, should be P5.50 and yours is P4.50. Since the difference between P5.50 and P4.50 is 1. Told you, that's so easy. :D

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