Question

On her way to a concert, Hermione stopped at a restaurant for dinner. In her purse, she had 12 bills worth a total of $40. She had only $1 bills and $5 bills. How many $5 bills did Hermione have in her purse?

1
2
5
7

Answer 1

Let x be the number of $1 bills and y be the number of $5 bills that Hermione had in her purse. Then we can write two equations based on the given information:

x + y = 12 (because Hermione had 12 bills in total)

x + 5y = 40 (because the total value of the bills was $40)

We can solve this system of equations by first solving the first equation for x:

x = 12 - y

Substituting this expression for x into the second equation, we get:

(12 - y) + 5y = 40

Simplifying and solving for y, we get:

4y = 28

y = 7

Therefore, Hermione had 7 $5 bills in her purse. Answer: 7.