Question

Zayden has a total of 20 bills in his wallet. Also, his wallet only contains $50 and $100 bills. If the numbers of $50 and $100 bills are interchanged, the total amount of money in Zayden’s wallet would be $500 more than it originally was. Find the original amount of money in his wallet.

$

Answer 1

Step-by-step explanation:

x = number of $50 bills

y = number of $100 bills

x + y = 20

50x + 100y + 500 = 100x + 50y

50y + 500 = 50x

y + 10 = x

now we use that in the first equation :

y + 10 + y = 20

2y = 10

y = 5

x = y + 10 = 5 + 10 = 15

so, he has 15 $50 bills and 5 $100 bills = $750 + $500 = $1250 in his wallet