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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.

Respuesta :

calculista

Answer:

The system of equations in standard form is equal to

[tex]11a+19b=71[/tex]

[tex]a+b=5[/tex]

The number of ounces of perfume A is [tex]3\ ounces[/tex]

The number of ounces of perfume B is [tex]2\ ounces[/tex]

Step-by-step explanation:

Let

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

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

we know that

[tex]11a+19b=71[/tex] -----> equation A

[tex]a+b=5[/tex]

[tex]a=5-b[/tex] -----> equation B

substitute equation B in equation A and solve for b

[tex]11(5-b)+19b=71[/tex]

[tex]55-11b+19b=71[/tex]

[tex]8b=71-55[/tex]

[tex]8b=16[/tex]

[tex]b=2\ ounces[/tex]

Find the value of a

[tex]a=5-b[/tex] -----> [tex]a=5-2=3\ ounces[/tex]

jennifersosa8

Answer:

a+b=5

Step-by-step explanation:

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

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