Translate to a system of equations. DO NOT SOLVE.
A nontoxic scouring powder is made up of 4 parts baking soda and 1 part vinegar. How much of each ingredient is needed for a 16-oz mixture?
What are the two equations? For most problems, I can easily find the info for the two equations, but this time, I just don't see the info for equations?
Thanks!
4/5 baking soda and 1/5 vinegar
4/5*16 =
1/5*16 =
or
b + v = 16
b = 4 v
same result
So that means the amount of baking soda is the same as 4 vinegar?
To translate the given information into a system of equations, we need to define the variables and the relationship between them.
Let's say:
- x represents the amount of baking soda (in ounces) needed for the mixture.
- y represents the amount of vinegar (in ounces) needed for the mixture.
Now, let's establish the relationship between these variables based on the given information. It states that the mixture is made up of 4 parts baking soda and 1 part vinegar.
This can be expressed as:
- The amount of baking soda (x) is 4 times the amount of vinegar (y) because it is made up of 4 parts baking soda and 1 part vinegar.
Therefore, our two equations can be written as follows:
Equation 1: x = 4y (amount of baking soda is 4 times the amount of vinegar)
Equation 2: x + y = 16 (the total amount of the mixture is 16 ounces)
These equations represent the relationship between the amounts of baking soda and vinegar in the mixture, and the total amount of the mixture itself.