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Kenny had 5/7 more trading cards than Lee. After Kenny collected 50% more trading cards, he had 220 more trading cards than Lee. How many trading cards did Lee have? (answer is 140... Why?)

Respuesta :

opudodennis

Answer:

140 cards

Step-by-step explanation:

-Let x be the total number of trading cards Lee has.

-Therefore, each person has:

[tex]Lee= x\\\\Kenny=1\frac{5}{7}x[/tex]

#Kenny collects 50% more. We multiply his current amount by 1.5times:

[tex]=1\frac{5}{7}\times 1.5\\\\=2\frac{4}{7}x[/tex]

#We are given that Kenny's new number is 220 more than Lee's x. We therefore equate and solve as below:

[tex]2\frac{4}{7}x-x=220\\\\1\frac{4}{7}x=220\\\\=140[/tex]

Hence, Lee had 140 cards

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