Question

Dan has five times as many $1 bills has $5 bills. He has a total of 48 bills. Define a variable and write an equation to solve for how many $5 bills he has. How much money does he have in total?

PLEASE show an explanation.

Answer 1

Part 1) Dan has 8 bills of $5 and 40 bills of $1

Part 2) The total money that Dan has is $80

Explanation:

Let

x -----> the number of $1 bills

y ----> the number of $5 bills

we know that

`x+y=48` -----> equation A

`x=5y` -----> equation B

Solve the system by substitution method

substitute equation B in equation A and solve for y

`5y+y=48`

`6y=48`

`y=8`

Find the value of x

`x=5y`

`x=5(8)=40`

The total money that Dan has is

`40(1)+8(5)=\$80`

therefore

Dan has 8 bills of $5 and 40 bills of $1

The total money that Dan has is $80