Page 162 - Math Course 2 (Book 2)

Understanding Weighted Averages

Skill Practice!

SEASONING For Exercises 1–4, use the following information.
A health food store sells seasoning blends in bulk. One blend contains 20% basil. Sheila wants to add pure
basil to some 20% blend to make 16 ounces of her own 30% blend. Let b represent the amount of basil Sheila
should add to the 20% blend.

1. Complete the table representing the problem

2. Write an equation to represent the problem.

3. How many ounces of basil should Sheila use to make the 30% blend?

4. How many ounces of the 20% blend should she use?

HIKING For Exercises 5–7, use the following information.
At 7:00 A.M., two groups of hikers begin 21 miles apart and head toward each other. The first group, hiking at
an average rate of 1.5 miles per hour, carries tents, sleeping bags, and cooking equipment. The second group,
hiking at an average rate of 2 miles per hour, carries food and water. Let t represent the hiking time.

5. Copy and complete the table representing the problem.

6. Write an equation using t that describes the distances traveled.

7. How long will it be until the two groups of hikers meet?

SALES For Exercises 8 and 9, use the following information.
Sergio sells a mixture of Virginia peanuts and Spanish peanuts for $3.40 per pound. To make the mixture, he
uses Virginia peanuts that cost $3.50 per pound and Spanish peanuts that cost $3.00 per pound. He mixes 10
pounds at a time.
8. How many pounds of Virginia peanuts does Sergio use?

9. How many pounds of Spanish peanuts does Sergio use?

154