Question

Jessica and Josh are selling Entertainment Books to raise money for the art room at their school. One book sells for $20. Jessica received the prize for selling the most books in the school. Jessica sold 11 times more books than Josh. Together they sold 84 books. How many did each one of them sell?

Answer 1

Answer:

77 and 7

Step-by-step explanation:

Let the number of books sold by Jessica be A and Josh be B.

Cost of one book = $20

Jessica sold 11 times Josh .

That’s A = 11B

Together they sold 84 books.

That’s A + B = 84

We now have two equations ,

Equation 1 : A = 11B

Equation 2: A + B = 84

Substitute 11B for A in equation 2.

We have ,

11B + B = 84

12B = 84

Divide both sides by 12

B = 84/12

B = 7

Josh sold 7 books

Now substitute 7 for B in either of the equations to get A. Using equation 1 , we have

A = 11B

A = 11 x 7

A = 77

Jessica sold 77 books while Josh sold 7

Answer 2

Answer: Jessica sold 77 books. Josh sold 7 books.

Step-by-step explanation:

Let x represent the number of books that Jessica sold.

Let y represent the number of books that Josh sold.

Together they sold 84 books. This means that

x + y = 84- - - - - - - - - - - - - -1

Jessica sold 11 times more books than Josh. This means that

x = 11y

Substituting x = 11y into equation 1, it becomes

11y + y = 84

12y = 84

y = 84/12

y = 7

x = 11y = 11 × 7

x = 77