Basic Mathematics for College Students

(Nandana) #1

  1. FINGERNAILS On average, fingernails grow
    0.02 inch per week. Write this rate using whole
    numbers.

  2. INTERNET SALES A website determined that it
    had 112,500 hits in one month. Of those visiting the
    site, 4,500 made purchases.
    a. Those that visited the site, but did not make a
    purchase, are called browsers. How many
    browsers visited the website that month?
    b. What was the browsers-to-buyers unit rate for
    the website that month?

  3. TYPING A secretary typed a document containing
    330 words in 5 minutes. Write this rate as a unit
    rate.

  4. UNIT PRICES A 12-ounce can of cola sells for 84¢.
    Find the unit price in cents per ounce.

  5. DAYCARE A daycare center charges $32 for
    8 hours of supervised care. Find the unit price in
    dollars per hour for the daycare.

  6. PARKING A parking meter requires 25¢ for
    20 minutes of parking. Find the unit price to
    park.

  7. GASOLINE COST A driver pumped 17 gallons of
    gasoline into the tank of his pickup truck at a cost of
    $32.13. Find the unit price of the gasoline.

  8. LANDSCAPING A 50-pound bag of grass seed sells
    for $222.50. Find the unit price of grass seed.

  9. UNIT COSTS A 24-ounce package of green
    beans sells for $1.29. Find the unit price in cents
    per ounce.

  10. DRAINING TANKS An 11,880-gallon tank of
    water can be emptied in 27 minutes. Find the unit
    rate of flow of water out of the tank.

  11. PAY RATE Ricardo worked for 27 hours to help
    insulate a hockey arena. For his work, he received
    $337.50. Find his hourly rate of pay.

  12. AUTO TRAVEL A car’s odometer reads 34,746 at
    the beginning of a trip. Five hours later, it reads 35,071.
    a. How far did the car travel?
    b. What was its rate of speed?

  13. RATES OF SPEED An airplane travels from
    Chicago to San Francisco, a distance of 1,883 miles, in
    3.5 hours. Find the rate of speed of the plane.

  14. COMPARISON SHOPPING A 6-ounce can of
    orange juice sells for 89¢, and an 8-ounce can sells
    for $1.19. Which is the better buy?

  15. COMPARISON SHOPPING A 30-pound bag of
    planting mix costs $12.25, and an 80-pound bag costs
    $30.25. Which is the better buy?

  16. COMPARISON SHOPPING A certain brand of
    cold and sinus medication is sold in 20-tablet boxes
    for $4.29 and in 50-tablet boxes for $9.59. Which is
    the better buy?

  17. COMPARISON SHOPPING Which tire shown is
    the better buy?

  18. COMPARING SPEEDS A car travels 345 miles in
    6 hours, and a truck travels 376 miles in 6.2 hours.
    Which vehicle is going faster?

  19. READING One seventh-grader read a 54-page
    book in 40 minutes. Another read an 80-page book
    in 62 minutes. If the books were equally difficult,
    which student read faster?

  20. GAS MILEAGE One car went 1,235 miles
    on 51.3 gallons of gasoline, and another went
    1,456 miles on 55.78 gallons. Which car got the
    better gas mileage?

  21. ELECTRICITY RATES In one community,
    a bill for 575 kilowatt-hours of electricity is
    $38.81. In a second community, a bill for 831 kwh
    is $58.10. In which community is electricity
    cheaper?

  22. Are the ratios 3 to 1 and 1 to 3 the same? Explain
    why or why not.

  23. Give three examples of ratios (or rates) that you
    have encountered in the past week.

  24. How will the topics studied in this section make you
    a better shopper?

  25. What is a unit rate? Give some examples.


Use front-end rounding to estimate each result.


  1. 12,897 + 29,431 + 2,595





  2. 63,4673,103


410  21


6,302 788


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