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 …

Question

asked Dec 17, 2021 187k views

1 Answer

Dan Donaldson · Answer 1 · 2021-12-22T18:39:03+0000

Answer:

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