Question 1 (Essay Worth 10 points)
(02.01;02.02 MC)

The ratio of the number of cups of red paint to the number of cups of yellow paint that Garcia mixed to make a shade of orange paint is 4:1.

Part A: Write a sentence to describe the number of cups of red paint that Garcia mixed with each cup of yellow paint. (4 points)

Part B: How many cups of yellow paint should Garcia add to each cup of red paint to make the shade of orange? Explain your reasoning. (4 points)

Part C: If Garcia purchased 6 cups of red paint for $42, what is the unit price per cup of red paint? (2 points)

Part A: Garcia mixed 4 cups of red with 1 cup of yellow.

Part B: 1/4 because 4 cups of red requires 1 cup of yellow, so 1 divided by 4 is 1/4.

Part C: $7

Hope this helps! :)

The unit price for a cup of red paint is equal to $7

Unit rate is the ratio of two different units, with denominator as 1. For example, kilometer/hour, meter/sec, miles/hour, salary/month, etc. Arithmetic is probably the most basic and ancient branch of mathematics and is quite commonly used in our day-to-day life.

Given here: The ratio of the number of cups of red paint to the number of cups of yellow paint that Garcia mixed to make a shade of orange paint is 4:1

For every yellow cup of paint Garcia mixed 4 cups of red paint to the mixture.

Now the ratio given here is  4:1

Thus for every 1 cup of yellow paint garcia mixes 4 cups of red paint

or for 1 cup of red paint garcia mixes 1/4 cup of yellow paint to the mixture.

Because 1:4=1:1/4

Now in a shade of orange paints there are 4 cups of red paint and 1 cups of yellow paint thus total cups of paint=5

Now 6 cups of red paint cost $42

Thus 1 cup of red paint is equal to 42/6=$7

Thus cost of each red paint is equal to $7

Hence, The unit price for a cup of red paint is equal to $7

Learn more about the unit rate here:

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