Question

= 118

1=52

Ms. Boyd has 9 bills in her purse that consist

of five-dollar bills and twenty-dollar bills. The

value of the bills is worth $105. How many

five-dollars bills and twenty-dollar bills does

Ms. Boyd have?

Answer 1

number of $20 bill = 4

Number of $5 bill = 5

Explanation:

Given that:

Total number of $5 and $20 bills = 9

Let :

Number of $5 bills = x

Number of $20 bills = y

Combined worth of all bills = $105

x + y = 9 - - - (1)

5x + 20y = 105 - - - (2)

From (1)

x = 9 - y

Substitute x = 9 - y into (2)

5(9 - y) + 20y = 105

45 - 5y + 20y = 105

15y = 105 - 45

15y = 60

y = 60/15

y = 4

x = 9 - y

x = 9 - 4 = 5

Hence,

number of $20 bill = 4

Number of $5 bill = 5