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Lesson 9

Calculate the following. Please show all work.            [30 points]

1.

If the price of a jar of honey is reduced from \$5 to \$3, by what percent is the price reduced?

2.

The Amazing Corporation laid off 45% of its 9,000 employees last month. How many employees were not laid off?

3.

A certain credit card company charges % interest on the unpaid balance. If Margaret has an unpaid balance of \$600, how much interest will she be charged for one month?

4.

Andy bought \$5000 worth of stocks on Monday. On Thursday, he sold his stocks for \$9000. Excluding commissions, what percent does his profit represent of his original investment?

5.

Claudine started the day with \$300 in her pocketbook. She spent 6% of it to buy breakfast, 11% to buy lunch, and 15% to buy dinner. If she didn’t spend any other money that day, how much money did she have left at the end of the day?

6.

There were 64 people at a board meeting. If the ratio of men to women was 5:3, how many women were at the meeting?

7.

At a certain corporation. the ratio of unionized workers to non-unionized is 3 to 7. If a total of 120 people work for that corporation, how many are unionized workers?

8.

In 2004 there were 801 crimes committed in the 9th precinct. These crimes involved theft, rape, and drugs in the ratio of 3:2:4. How many crimes involved theft?

9.

Amelia’s pulse rate is 14 beats every 15 seconds. What is her rate in beats per minute?

10.

Meg died and left \$600,000 to her 3 children, Joan, Georgette, and Ray in the ratio of 13:6:1, respectively. How much is Joan’s share?

11.

A bag contains 105 jelly beans: 23 white, 23 red, 14 purple, 26 yellow, and 19 green ones. What is the probability of selecting either a yellow or a green jelly bean?

12.

A can contains 200 mixed nuts: almonds, cashews, and peanuts. If the probability of choosing an almond is and the probability of choosing a cashew is , how many peanuts are in the can?

13.

A certain triangle has an area of 9 square inches. If its base is 3 inches, what is its height in inches?

14.

What is the approximate circumference of a circle whose diameter is 14 inches?

Figure 1

15.

What is the perimeter of the polygon (Figure 1) in inches?

Multiple Choice
For questions 16-20, calculate the probability

16.

A spinner has 4 equal sectors colored yellow, blue, green and red. What are the chances of landing on blue after spinning the spinner? What are the chances of landing on red?
 a. c. b. d.

17.

If a six-sided die is rolled, what is the probability of a five landing on top?
 a. c. b. d.

18.

A glass jar contains 6 red, 5 green, 8 blue and 3 yellow marbles. If a single marble is chosen at random from the jar, what is the probability of choosing a red marble?
 a. c. b. d.

19.

A glass jar contains 6 red, 5 green, 8 blue and 3 yellow marbles. If a single marble is chosen at random from the jar, what is the probability of choosing a green marble?
 a. c. b. d.

20.

A glass jar contains 6 red, 5 green, 8 blue and 3 yellow marbles. If a single marble is chosen at random from the jar, what is the probability of choosing a blue marble?
 a. c. b. d.