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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.

Respuesta :

calculista

Answer:

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

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

Step-by-step explanation:

Let

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

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

we know that

[tex]x+y=48[/tex] -----> equation A

[tex]x=5y[/tex] -----> equation B

Solve the system by substitution method

substitute equation B in equation A and solve for y

[tex]5y+y=48[/tex]

[tex]6y=48[/tex]

[tex]y=8[/tex]

Find the value of x

[tex]x=5y[/tex]

[tex]x=5(8)=40[/tex]

The total money that Dan has is

[tex]40(1)+8(5)=\$80[/tex]

therefore

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

The total money that Dan has is $80

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