Question

Let a represent the number of ounces of perfume A. Let b represent the number of ounces of perfume B. Perfume A costs $11 per ounce, and perfume B costs $19 per ounce. The perfume maker wants to make a bottle that costs $71. Write an equation in standard form that models the cost of each perfume in the 5-ounce bottle.

Answer 1

a+b=5

Explanation:

On Edmentum it's a+b=5 :)

Answer 2

The system of equations in standard form is equal to

`11a+19b=71`

`a+b=5`

The number of ounces of perfume A is
`3\ ounces`

The number of ounces of perfume B is
`2\ ounces`

Explanation:

Let

a-----> the number of ounces of perfume A

b----> the number of ounces of perfume B

we know that

`11a+19b=71` -----> equation A

`a+b=5`

`a=5-b` -----> equation B

substitute equation B in equation A and solve for b

`11(5-b)+19b=71`

`55-11b+19b=71`

`8b=71-55`

`8b=16`

`b=2\ ounces`

Find the value of a

`a=5-b` ----->
`a=5-2=3\ ounces`