LET Reviewer (Material 8)

EXERCISE IN MATHEMATICS

Direction: Observe how the following problems are solved:

Problem 1)   A certain football team has a number of wins and loses. In its first 40 games, 40% were loses. How many of the 20 games the team has still to play to have its number of victories equal to 65% of total games played?

Solution:  Loses 40 = 4 x 40 = 16 games

                        Wins 40 = 40 – 16 = 24 wins in the first 40 games

                        Total Wins = 65% the games

                        W40 + W20 = 65 (40 + 20) = 39.00

                          24 + W20 = 39

                                        W 20 = 39 – 24 = 15 games (Answer)

Problem 2)   If 40 students can paint a school fence in 7 days, how long will it take 10 students to do the same job?

Solution:  Greater : Less = Greater : Less

                   14 students : 10 students = x days : 7 days

                                                                10x = 14 (7)

                                                                10x = 98

                                                                    x = 9.8 days (Answer)

Problem 3)   In an office, 240 reams of bond paper were distributed equally among the different divisions found in the place. If there had been 4 divisions more and each would receive 4/5 as many, how many divisions were there?

Solution: Let  N = No. of divisions

Problem 4)   Pursuant to a Presidential Decree giving land to the landless, a certain land transfer operation in Bulacan was completed in 14 months. This was about 3/10 less of the entire number of month allowed to finish the operation. Find the length of time allotted for the purpose.

Solution:  Let = total time

            

Problem 5)   If machine A can produce 200 articles in 1 hr. and 78 minutes and machine B can make the same number in 2 hrs. and 36 minutes, how long will it take for both machines to make 200 articles?

Problem 6)   The population of a certain urban area increased by 8% yearly. If its population was increased to 485 in 1973, what was its population in 1976?

Solution:      Population in 1973 = 485

                        Population in 1974 = 1.08 (485) = 524

                        Population in 1975 = 1.08 (524) = 566

                        Population in 1976 = 1.08 (566) = 612 (Answer)

Problem 7)   Find out how much a man must leave his family so that if ½ of it is invested at 10% and the other half at 12%, the investment will yield an annual income of P9,295.00.

Problem 8)   Mrs. Santos prepares 12 qts of calamansi beverage for her family. If the drink contains 20% calamansi juice, how much water should she add to reduce the calamansi portion to 15%?

Problem 9)   If a group of 20 factory workers can finish a job in 6 days, how many more workers should be put on the job to complete the job in 4 days?

Solution:     Let x no. of men to finish in 4 days

                        20 : x = 4 : 6

                            4  x = 120

                                x = 30 men to finish in 4 days

                        30-20 = 10 men to be added (Answer)

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