a paint store makes three batches of a color called Sunset Orange using the recipe shown.

1/2 of the paint is red

1/3 of the paint is yellow

1/6 of the paint is white

Each batch contains a different total amount of paint.

Drag numbers to show how much of each color should be used in each batch of Sunset Orange

Question

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facundo3141592 facundo3141592 · Answer 1 · 2020-10-03T02:59:02+02:00

Answer:

Suppose that the batch has N liters of paint.

we know that the recipe is:

1/2 of red paint

1/3 of yellow paint

1/6 of white paint.

Then, out of the N liters, 1/2 is red.

This means that we must use:

N/2 liters of red paint.

And the same for the other two colors:

N/3 liters of yellow paint

N/6 liters of white paint.

When we add those 3, we have:

(N/2 + N/3 + N/6) = (3*N/6 + 2*N/6 + N/6) = N.

Now, if for example N = 2

Then the batch has 2 liters of paint, this would mean that we must use:

2/2 liters of red paint

2/3 liters of yellow paint

2/6 liters of white paint.