CHAPTER 2  Objective 3.1  Exercises

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Solve.

1.  How many pounds of cheese which cost $3.80 per pound must be mixed with 16 lb of cheese which cost $2.40 per pound to make a grated cheese topping which costs $3.00 per pound?

2.  A gardener has 10 lb of grass seed which cost $.80 per pound. How many pounds of a grass seed which cost $1.20 per pound should be mixed with the 10 lb of grass seed to produce a mixture which sells for $1.10 per pound?

3.  Find the selling price per ounce of a face cream mixture made from 80 oz of face cream which cost $4.20 per ounce and 120 oz of face cream which cost $2.60 per ounce.

4.  A 110-pound bag of animal feed is 30% oats. How many pounds of oats must be added to this feed to produce a mixture which is 45% oats?

5.  Forty-five ounces of pure grapefruit juice is added to 30 oz of a fruit punch which is 15% grapefruit juice. What is the percent concentration of grapefruit juice in the resulting mixture?

6.  A motorboat leaves a harbor and travels at an average speed of 10 mph toward a small island. Three hours later a speed boat leaves the same harbor and travels at a rate of 18 mph toward the same island. In how many hours after the speed boat leaves will the speed boat be alongside the motorboat?

7.  Two cyclists start at the same time from opposite ends of a course which is 42 mi long. One cyclist is riding at 16 mph and the second is riding at 12 mph. How long after they begin will they meet?

8.  Two planes start at the same time from the same point and fly in opposite directions. The first plane is flying 30 mph faster than the second plane. In four hours they are 2880 mi apart. Find the rate of each plane.

9. A total of $14,000 is invested in two simple interest accounts. On one account the annual simple interest rate is 12.5%. On the second account the annual simple interest rate is 10%. The total annual interest earned by the two accounts is $1600. How much is invested in the 10% account?

10. An investment adviser invested $20,000 into two simple interest accounts. One investment earned 14% annual simple interest; the other investment earned 12.8% annual simple interest. The amount of interest earned in one year was $2734. How much was invested in the 14%account?

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