Question

algebra

Answer 1

@freckles

Answer 2

You need a system of equations.
First, pick a variable to represent how much $35/oz perfume you will use.

Answer 3

set the equation for me like last time

Answer 4

Which variable do you want to use for the $35/oz perfume?

Answer 5

Let's use x to represent the amount of $35/oz perfume, and
y to represent the amount of $15/oz perfume.

Answer 6

You want to make 3 ounces of perfume mix, so the sum of the amounts of perfume has to be 3 ounces.
That means that
x + y = 3

Answer 7

Now we need an equation that deals with the combination of the prices.

Answer 8

We want to make 3 ounces of perfume that will cost $63.
We take x ounces of $35/oz perfume and y ounces of of $15/oz perfume.
x ounces of $35/oz perfume cost:
35x
y ounces of $15/oz perfume cost:
15y
When we add these two amounts, we get a total cost of $63.
This gives us our second equation:
35x + 15y = 63
This is an equation of costs.
The first equation we got above is an equation of amounts.

Answer 9

Now we have our system of equations:

x + y = 3
35x + 15y = 63

Answer 10

We just need x, the amount of $35/oz perfume.

We solve the first5 equation for y:
y = 3 - x

Now we substitute in the second equation:
35x + 15(3 - x) = 63
35x + 45 - 15x = 63
20x = 18
x = 18/20
x = 9/10
The answer is 9/10 of an ounce of the $35/oz perfume.