Assignment to be submitted on October 3, 2011 10:00 AM
1. Of the 800 tickets sold to a movie, 480 were adult tickets. The total gate receipts is Php 2080. How much is the cost of students ticket if an adult ticket cost Php 3 ?
2. An empty swimming pool can be filled in 10 hours by an inlet faucet and when full it can be drained empty by an outlet faucet in 19 hours. How long will it be filled if the outlet faucet is accidentally left open when filling starts ?
3. A nurse has 1 liter of solution that is 20 % alcohol. How much pure alcohol must she add to bring it to a solution that contains 30% alcohol ?
4. John scored 5 points higher on his midterm, and 13 points higher on his final, than on his trinal exam. What did he score on the trinal exam if his average score was 90 ?
5. The sum of three consecutive positive odd integers is 69. Find the integers.
6. A child has equal number of nickels, dimes and quarters. If the coins are worth $ 3.20, how many of each types of coin are there?
7. A motorboat travels 5 km upstream in the same time that it requires to go 7 km downstream. If the river’s current flows at the rate of 2 km/hr , what is the speed of the motorboat in still water ?
8. One morning John drive to his uncle’s house in a distant city in 5 hours. When he returned home, there was less traffic and the trip took only 3 hours. If John drive 26 km per hour faster on the return trip, how fast did he drive in each way ?
9. If Roy is 12 years old and his father 40 years old, in how many years will Roy’s age become one-half his father’s age.
10. Determine the present age of a man if ½ of his age 8 years ago is equal to ¼ of his age 12 years from now.
11. If a certain number is added to both the numerator and denominator of the fraction 3/5 , the resulting fraction is 5/6. Determine the number.
12. A man invest some money at 8 % interest and twice as much at 9 % annual interest. The total income from his two investments is Php 2,080. How much did he invested at each rate ?
13. It is now 4:00 o’clock PM. At what time before 5:00 o’clock will the minute hand and the hour hand become (a) perpendicular for the first time, (b) perpendicular for the second time. (c) What time will the minute hand overtake the hour hand ?
14. If Php 500.00 is invested at 16 % simple interest, how many years will it take to have a final
amount of P 900.00 ?
15. An ant travels 140 cm to the north, then turns 60 cm to the east and then 60 cm to the south. How far is the ant from the starting point ?
E N D E N D E N D
I. Solve for the value of x
1. 3( x + 5 ) = 3( 1 + x )
2. 3( x + 2 ) = 5x + 2
3. 2 = 1
3 - x
4. 2 + x + x + 7 = 4x + 1
3 2
5. x2 - 8x + 15 = ( x – 3 )( x + 5 )
6. 3 = 1
x - 3
7. x ( x + 2 ) = ( x + 1 )2
8. 3x + 1 = ½
20
9. 1 = 3
x + 1
10. 3 ( x + 2 ) – x = 2 ( x + 3 )
II. Use algebraic translation to find the required unknown.
1. Find three consecutive odd numbers whose sum is 105.
2. Find two consecutive positive even numbers whose squares differ by 60.
3. The length of a rectangular garden is 5 m longer than its width. If the perimeter is
78 , determine the length and the width of the garden.
4. Two angles are supplementary. Determine their magnitudes if one angle is 48 degrees greater than the
other.
5. A BSCS student makes a grade of 72 %, 68 % and 78% in his three subjects. What should be his
grade in the fourth subject so that he will have an average grade of 80% ?
