Question

Shondra is counting the money in the cash register at the end of her shift. All that is left to count are $5 bills and $10 bills. There are 32 bills in the stack and they are worth $220. How many of each denomination did she have?

Let x represent the number of $5 bills and let y represent the number of $10 bills.

Choose the 2 equations that would best represent this scenario and select the correct solution from the drop down list. You will select 3 answers in total.

Answer 1

Answer: x=20 and y=12

Explanation:

Answer 2

Answer and Step-by-step explanation: x represent the number of $5 bills and y, the number of $10 bill and, in total there are 32 bills, so

x + y = 32

In terms of value, there is a total of $220. The equation for it is

5x + 10y = 220

The 2 equations which best represent the scenario are

x + y = 32 (I)

5x + 10y = 220 (II)

To know how many bills there are, we have to solve the system. There are many way to solve it and one of them is

1) Multiply (I) by -5:

-5x - 5y = -160 (III)

2) Add equation (III) to equation (II):

-5x - 5y = -160

5x + 10y = 220

0x + 5y = 60 (IV)

3) Solve equation (IV)

5y = 60

y = 12

4) Replace value of y in equation (I) and find value of x:

x + 12 = 32

x = 20

In the proposed scenario, Shondra had 20 $5 bills and 12 $10 bills.