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

Answer:

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 $2\ ounces$

Step-by-step 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

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

Answer 2

Answer:

a+b=5

Step-by-step explanation:

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