Question

real application of linear equations Cedric has $10 bills and $5 bills in his wallet. The total amount of money in his wallet is $ 50A. Let x represent the number of $10 bills and y represent the number of $5 bills. Write an equation to represent the number of each bill.B. If there are 3 $10 bills, how many $5 bills are there?C. If there are 6 $5 bills, how many $10 bills are there?

Answer 1

(a)10x+5y=50

(b)4 $5 bills

(c)3 $10 bills

Step-by-step explanation:

Part A

Given:

The number of $10 bills = x

The number of $5 bills = y

If the total amount of money in his wallet is $50, then:

`10x+5y=50\ldots(1)`

Part B

If the number of $10 bills, x = 3

From the equation above:

`\begin{gathered} 10x+5y=50 \\ 10(3)+5y=50 \\ 30+5y=50 \\ 5y=50-30 \\ 5y=20 \\ y=(20)/(5) \\ y=4 \end{gathered}`

Therefore, if there are 3 $10 bills, there are 4 $5 bills.

Part C

If the number of $5 bills, y=6, then:

`\begin{gathered} 10x+5y=60 \\ 10x+5(6)=60 \\ 10x=60-30 \\ 10x=30 \\ x=(30)/(10) \\ x=3 \end{gathered}`

Therefore, if there are 6 $5 bills, there are 3 $10 bills.