Answer:
<u>Please read the answers below</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the questions correctly:
1 white block weights 2 ounces
6 white blocks = 3 red blocks
1 blue block = 3 white blocks + 4 red blocks
1 yellow block = 4 blue blocks + ? white blocks + ? red blocks
2 purple blocks = 1 white block + 1 red block + 1 blue block + 1 yellow block
2. How much does 1 red block weight? Explain.
Let's answer this question, this way:
6 white blocks = 3 red blocks
6 * 2 ounces = 3 red blocks
3 red blocks = 12 ounces
<u>1 red block = 12/3 ounces = 4 ounces</u>
3. What is the weight of one blue block?
1 blue block = 3 white blocks + 4 red blocks
1 blue block = 3 * 2 + 4 * 4
1 blue block = 6 + 16
<u>1 blue block = 22 ounces</u>
4. To balance one yellow block, it takes 4 blue blocks, and some white and red blocks. The number of white blocks is 3.5 times the number of blue blocks. The number of red blocks is 1.25 times the number of blue blocks.
White blocks = 3.5 * 4 = 14
Red blocks = 1.25 * 4 = 5
Yellow block = 4 blue blocks + 14 white blocks + 5 red blocks
Yellow block = 4 * 22 + 14 * 2 + 5 * 4
<u>Yellow block = 88 + 28 + 20 = 136 ounces</u>
5. What is the weight of one purple block?
2 purple blocks = 1 white block + 1 red block + 1 blue block + 1 yellow block
2 purple blocks = 2 + 4 + 22 + 136
2 purple blocks = 164 ounces
<u>1 purple block = 164/2 = 82 ounces</u>
6. Rosa challenges Kyle to balance a purple block by using only one other color of block. Which color block should Kyle choose? Explain.
Actually there are two options:
<u>A. 1 purple block = 41 white blocks</u>
82 ounces = 41 * 2 ounces
82 ounces = 82 ounces
<u>B. 2 purple blocks = 41 red blocks</u>
2 * 82 = 41 * 4
164 ounces = 164 ounces
