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You have 73 trading cards. Your cousin says that
you have 7 less than half the cards he has. You
say you have 33 more than one-fourth the cards
he has. Can you both be right?


Sagot :

Using proportions, it is found that both can be right, as the amounts found from each operation are the same.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Considering you have 73 cards, and your cousin says that you have 7 less than half the cards he has, his amount is found as follows:

0.5x - 7 = 73

0.5x = 80

x = 160.

Then, one-fourth of his amount is:

(1/4) x 160 = 40.

33 more than this is:

33 + 40 = 73.

Both operations have results (73,160), hence the both can be right.

More can be learned about proportions at https://brainly.com/question/24372153

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