What do you get when you mix blue and yellow
Asked by admin @ in Mathematics viewed by 341 People
How many cups of yellow paint should you mix with 1 cup of blue paint to make the same shade of green?Explain or show your reasoning.
Asked by admin @ in Mathematics viewed by 341 People
How many cups of yellow paint should you mix with 1 cup of blue paint to make the same shade of green?Explain or show your reasoning.
Answered by admin @
A proportional relationship is written as:
y = k*x
Where k is the constant of proportionality.
Here we have a proportional relationship between yellow paint and blue paint to make a particular shade of green.
We will see that we need 5 cups of yellow paint to get this particular shade of green.
In the table, we can see that if we mix 2 cups of blue paint and 10 cups of yellow paint we get that shade of green.
Let's define:
Replacing that in the general proportional relation we get:
10 = k*2
With this we can find the value of k:
10/2 = 5 = k
k = 5
Then the proportional relation is: y = 5*x
Now we want to see how many cups of yellow paint we need to mix with one cup of blue paint to get this particular shade of green, then we just need to replace x by 1.
y = 5*1 = 5
This means that we need 5 cups of yellow paint.
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