Part of the proceeds from a garage sale was $490 worth of $10 and $20 bills. lf there were 4 more $10 bills than $20 bills, how do you find the number of each denomination?

2 Answers
May 18, 2017

15 ($20 dollar bills) and 19 ($10 dollar bills).

Explanation:

If we let xx be the number of $20 dollar bills then there are x+4x+4 $10 dollar bills.

The equation of the problem is:
10(x+4)+20(x)=49010(x+4)+20(x)=490
10x+40+20x=49010x+40+20x=490
30x=45030x=450
x=15x=15

Then there are 15 $20 dollar bills and 19 $10 dollar bills.

May 18, 2017

19 $10$10 bills and 15 $20$20 bills

Explanation:

Your equation:
20*x + 10*(4+x)=49020x+10(4+x)=490

20x+40+10x=49020x+40+10x=490

30x=45030x=450

x=15x=15

(x indicates number of #$20 bills).

Since there are 4 more bills under $10$10 category compared to the other, Your 10 dollar bills number is =15+4=19=15+4=19.