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FS10_1825_006_Sept8_5pages

# FS10_1825_006_Sept8_5pages - MTH 1825 sec. 006   ...

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Unformatted text preview: MTH 1825 sec. 006      Wed. Sept. 8, 2010  Section 1.5 – Applications of Linear Equations in One Variable      Translating expressions    Example 1)   If n represents a number, write an expression for each of the following:      a.  3 times a number              b.  the quotient of a number and 5          c.  the sum of a number and 12          d.  the difference of a number and 2          e.  the product of a number and 15        f.  4 less than a number          g.  13 more than a number            h.  7 less than 8 times a number          i.  2 more than the product of 5 and a number        j.  the quotient of 7 and 3 less than a number        k.  the sum of 18 and two‐thirds of a number        l.  the product of 8 and two more than a number      Page 1 of 5  MTH 1825 sec. 006      Wed. Sept. 8, 2010  Word problems    Example 2)   One number is 5 less than twice another number.  The sum of the numbers is  46.  Find both numbers.                      Example 3)   The sum of three consecutive integers is 342.  Find the integers.                    Example 4)   The sum of three consecutive odd integers is 429.  Find the integers.                    Example 5)   Five times the smaller of two consecutive even integers is the same as 64 less  than two times the larger.  Find the integers.                    Page 2 of 5  MTH 1825 sec. 006      Wed. Sept. 8, 2010  Example 6)   Felicia makes a 17% commission on her sales at a store.  Her monthly salary  (before taxes) is \$1500.    (a)  If Felicia sold merchandise worth \$4800 in August, what was her commission  for the month of August?  What was her (pre‐tax) salary for August?              (b)  If Felicia’s (pre‐tax) salary was \$2129 for the month of January, what was the  value of the merchandise she sold in January?                    Example 7)   The price of a textbook after a 23% markup is \$141.45.  What was the price of  the textbook before the markup?                      Example 8)   Harrison bought a chair for 75% of its original price.  He paid \$390.  What  was the original price of the chair?                  Page 3 of 5  MTH 1825 sec. 006      Wed. Sept. 8, 2010  Example 9)   The formula for simple interest is  I = Pr t .  In this formula, P is the principal, r  is the simple interest rate as a decimal, and t is the time in years.  If Roger invests \$200 in  an account paying 4.7% simple interest, how much interest will he earn at the end of 3  years?  €         Example 10)   Wally invested a total of \$10,000 in two accounts.  One account paid 2%  simple interest and the other paid 3.4% simple interest.  At the end of one year, the total  interest earned was \$281.90.  Find the amount invested in each account.                                      Example 11)   A chemist has a 40% saline solution and a 25% saline solution.  The chemist  needs 12 liters of a 36% solution for an experiment.  How many liters of each solution  should the chemist mix to create the new solution?        Page 4 of 5  MTH 1825 sec. 006      Wed. Sept. 8, 2010  Example 12)   How many gallons of a 6% bleach solution need to be added to 15 gallons of  a 10% bleach solution to produce a 7.5% solution?                              Example 13)   Jim drives from Detroit to Chicago in 5 hours, while his mother takes 6  hours to make the same trip.  Jim’s average speed is 8 miles per hour faster than his  mother’s average speed.  What is the average speed of each driver?                              Example 14)   Two cars are 450 kilometers apart and travel towards one another on the  same road.  They meet in 3 hours.  One car travels 2 kilometers per hour slower than the  other.  What is the average speed of each car?              Page 5 of 5  ...
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