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Godric has 11 bills in his wallet. Each bill is either a $5 dollar or a $20 dollar.Godric has a total of $115 in his wallet.

A) Could Godric have five $20 bills given the information you know?Explain

B) Let n be the number of five dollar bills that Godric has. Set up an equation using n that models this situation and solve it for n

Respuesta :

Answer:

A) Godric can have maximum of four $20 bills.

Therefore Godric can not have five $20 bills.

B) Equation is:

[tex]5n+20(11-n)=115[/tex]

[tex]n=7[/tex]

Step-by-step explanation:

Let the number of $5 bills with Godric = [tex]n[/tex]

Total number of bills = 11

Therefore, number of $20 bills = (11 - [tex]n[/tex])

Total amount of money in form of $5 bills = $[tex]5n[/tex]

Total amount of money in form of $20 bills = $[tex]20(11-n)[/tex]

Total money with Godric is $115.

[tex]\therefore 5n+20(11-n)=115\\\Rightarrow -15n=115-220\\\Rightarrow n=7[/tex]

Number of $5 bills present with Godric = 7

Number of $20 bills present with Godric = 11 - 7 = 4

A) Godric can have maximum of four $20 bills.

Therefore Godric can not have five $20 bills.

B) Equation is:

[tex]5n+20(11-n)=115[/tex]

Solution is [tex]n=7[/tex]