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Lesson

You want to make green paint. You mix 1 cup of yellow paint with 2 cups of blue paint to get the desired shade of green. How many cups of yellow and blue paint do you need to mix if he wants a total of 15 cups of green paint?

Method 1:

Method 2:

You want to make green paint. You mix ½ cup of yellow paint with ¾ cup of blue paint to get the desired shade of green. How many cups of yellow and blue paint do you need to mix if he wants a total of 15 cups of green paint?

Method 1:

Method 2:

Method 3:

Practice:

You want to make green paint. You mix ¼ cup of yellow paint with ½ cup of blue paint to get the desired shade of green. How many cups of yellow and blue paint do you need to mix if he wants a total of 24 cups of green paint?

Jasmin wants to make her own version of Arnold Palmer, a mix of lemonade and iced tea, for her party. She mixes 1½ cups of lemonade with ¾ of a coup of iced tea to achieve her desired taste. If she wants to make 72 cups of homemade Arnold Palmer, how many cups of lemonade and iced tea does she need to mix together?

CHALLENGE – QUESTION 1

A restaurant makes a special seasoning for all its grilled vegetables. Here is how the ingredients are mixed:

1/2of the mixture is salt
1/4of the mixture is pepper
1/8of the mixture is garlic powder
1/8of the mixture is onion powder

A restaurant makes a special seasoning for all its grilled vegetables. Here is how the ingredients are mixed:

Batch 1 / Batch 2 / Batch 3
Salt (cups) / 1
Pepper (cups) / 1
Garlic powder (cups) / / 1
Onion powder (cups) / 1

When the ingredients are mixed in the same ratio as shown above, every batch of seasoning tastes the same.

a) Study the measurements for each batch in the table. Fill in the blanks above so that every batch will taste the same.

b) The restaurant mixes a 12-cup batch of the mixture every week. How many cups of each ingredient do they use in the mixture each week?

______cups of salt______cups of pepper

______cups of garlic powder______cups of onion powder

CHALLENGE – QUESTION 2

On Friday, three friends shared how much they read during the week.

  • Barbara read the first 100 pages from a 320-page book in the last 4 days.
  • Colleen read the first 54 pages from a 260-page book in the last 3 days.
  • Nancy read the first 160 pages from a 480-page book in the last 5 days.

a) A person’s average reading rate can be defined as the number of pages read divided by the number of days. List the three friends’ reading rates in order from greatest to least.

Name of the Reader / Reading Rate
Greatest Rate
Middle Rate
Lowest Rate

b) If the three friends continue to read every day at their rates, who will finish reading her book first? Second? Third?

First: ______

Second: ______

Third: ______

CHALLENGE – QUESTION 3

The students in Ms. Baca’s art class were mixing yellow and blue paint. She told them that two mixtures will be the same shade of green if the blue and yellow paint are in the same ratio.

The table below shows the different mixtures of paint that the students made.

A / B / C / D / E
Yellow / 1 part / 2 parts / 3 parts / 4 parts / 6 parts
Blue / 2 part / 3 parts / 6 parts / 6 parts / 9 parts
  1. How many different shades of paint did the students make?
  1. Some of the shades of paint were bluer than others. Which mixture(s) were the bluest? Show work or explain how you know.
  1. Carefully plot a point for each mixture on a coordinate plane like the one that is shown in the figure. (Graph paper might help.)
  1. Draw a line connecting each point to (0,0). What do the mixtures that are the same shade of green have in common?
  2. (DOUBLE CHALLENGE)Write an equation that relatesy, the number of parts of yellow paint, andb, the number of parts of blue paint for mixture A. In other words, what can you add/subtract/multiply/divide y by to get b?