Section MU.1 – Practice Problems

1. Suppose you work for a large coffee distributor that has a secret coffee blend it sells to local stores. You mix the Guatemala Antigua blend with the Queen City blend, but always in the same proportion. Yesterday, you mixed 70 pounds of the Guatemala Antigua blend with 14 pounds of the Queen City blend. Today, there is 50 pounds of the Guatemala Antigua coffee left in stock. How many pounds of the Queen City coffee should you mix with it to get your secret blend?

2. In Tacoma, the tax on a property assessed at $860,000.00 is $9,460.00. If tax rates are proportional in this city, how much would the tax be on a property assessed at $820,000.00?

3. You are buying 70 acres of farmland at a cost of $510,000.00

a. What is the cost per acre?

b. What would the cost be for 60 acres?

4. As a nurse, part of your daily duties is to mix medications in the proper proportions for your patients. For one of your regular patients, you always mix Medication A with Medication B in the same proportion. Last week, your patient’s doctor indicated that you should mix 120 milligrams of Medication A with 132 milligrams of Medication B. However, this week the doctor said to only use 97.9 milligrams of Medication B. How many milligrams of Medication A should be mixed this week?

5. A person who wants to get in shape goes to a local gym that advertises 54 training sessions for $1,085.00. Find the cost of 100 training sessions.

6. If Ayden walks 6 miles in 90 minutes, then Ayden will walk how far in 120 minutes? If necessary, round your answer to the nearest tenth of a mile.

7. A bicyclist is traveling at 540 feet in 30 seconds. Express this as a rate and as a unit rate, in feet per second.

8. An 8-foot length of 4-inch wide crown molding costs $14. How much will it cost to buy 40 feet of crown molding?

9. Your car can drive 380 miles on a tank of 22 gallons.

a. How far can it drive on 50 gallons? Round your answer to the nearest hundredth.
b. How many gallons are needed to drive 650 miles? Round your answer to the nearest hundredth.

10. Four 3-megawatt wind turbines can supply enough electricity to power 3000 homes.  How many turbines would be required to power 55,000 homes?

11. A highway had a landslide, where 3,000 cubic yards of material fell on the road, requiring 200 dump truck loads to clear.  On another highway, a slide left 40,000 cubic yards on the road.  How many dump truck loads would be needed to clear this slide?

12. You read online that a brick patio with an area of 300 ft² would cost about $2,275 to have professionally installed. Estimate the cost of having a 437 ft² brick patio installed.

13. It takes a hose 5 minutes to fill a 1,170 in3 rectangular aquarium. How long will it take the same hose to fill a 17,204 in3 aquarium? Round to the nearest minute.

14. Pizzas are measured by diameter. The area of a 6-inch personal pizza is approximately 28.27 square inches.  The area of a 12-inch personal pizza is approximately 113.10 square inches.

a. A 6-inch personal pizza has 620 calories. Determine the number of calories in the 12-inch pizza. Round your answer to the nearest calorie.
b. A 12-inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 12-inch pizza. Round your answer to the nearest calorie.

15. Determine if the proportion is true.

[latex]\frac{12}{18}[/latex] = [latex]\frac{17}{24}[/latex]

16. Solve the proportion.

[latex]\frac{x}{54}[/latex] = [latex]\frac{5}{30}[/latex]

17. Find the unknown number in the proportion. Round your answer to the nearest hundredth.

[latex]\frac{5}{6}[/latex] = [latex]\frac{x}{118}[/latex]

18. Shawn went on a long road trip. The table below shows the distance Shawn traveled in the given time.

Are the miles traveled proportional to the hours?

19. Qasim went on a long road trip. The table below shows the distance Qasim traveled in the given time.

Are the miles traveled proportional to the hours?

20. Jonah ate snacks while preparing for an exam. The table below shows the number of many calories Jonah consumed by eating the given number of snacks.

Are the total calories consumed proportional to the number of snacks Albert ate?

21. Mia ate snacks while preparing for an exam. The table below shows the number of many calories Mia consumed by eating the given number of snacks.

Are the total calories consumed proportional to the number of snacks Albert ate?

22. A consumer priced items in various sizes at a grocery store.  Find the best buy (based on price per unit for each item).

The population of a certain city is 691,912 and its area is 8,633 square miles.  What is the population density?  Round to the nearest tenth.