Question

Jon and Andy had a total of 560 trading cards. After Jon gave 1/9 of his trading cards to Andy, they has an equal number of trading cards. How many more trading cards did Jon have that Andy in the beginning?

PLEASE ANSWER ASAP
THANK U :)

Answer 1

70 cards

Explanation:

Let A = the number of Andys cards

J = the number of Jons cards

Jon and Andy had a total of 560 trading cards

A+J = 560

After Jon gave 1/9 of his trading cards to Andy, they has an equal number of trading cards

J - 1/9 J = 1/9 J +A

Combine like terms

8/9 J = 1/9 J +A

Subtract 1/9J from each side

7/9J = A

Substitute this into A +J = 560

7/9J +J = 560

Combine like terms

7/9J +9/9J = 560

16/9 J = 560

Multiply each side by 9/16

9/16 *16/9 J = 560 *9/16

J =315

Jon originally had 315 cards

Now we need to find Andys cards

7/9J = A

7/9 (315) =A

245=A

How many more trading cards did Jon have that Andy in the beginning?

We need to take Jons cards and subtract Andys cards

J-A

315-245

70