Question

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?)

Answer 1

140 cards

Explanation:

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

-Therefore, each person has:

`Lee= x\\\\Kenny=1(5)/(7)x`

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

`=1(5)/(7)* 1.5\\\\=2(4)/(7)x`

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

`2(4)/(7)x-x=220\\\\1(4)/(7)x=220\\\\=140`

Hence, Lee had 140 cards