by Cammille Carinan

“Practice is the best of all instructors”
Publilius Syrus

Are you ready for the Math portion of the licensure examination for teachers (LET) this April 3?  If you are still working your way to solve Math problems quickly but accurately, here are some word problems in Math for you to solve.  Go and get  your pencil, calculator and a clean sheet of paper to solve these  mixture, work, and age problems.

1.Sixteen ounces of fresh orange juice contains 216 calories, and 16 ounces of fresh grapefruit juice contains 174 calories. If an 8-ounce mixture of these two juices contains 94 calories, what fraction of the mixture is orange juice?

2. 25 mL of water is added to 100 mL of a 10% salt solution. What is the concentration of the salt in the resulting solution?

3. A dairy has 50 gallons of milk that is 7.8% butterfat. How much skim milk (no butterfat) should be mixed with it to make milk that is 2% butterfat?

4. A grocer mixes 2 kinds of nuts. One kind costs $5/kg & the other $5.80/kg. How many kgs of each kind are needed to make 40 kg of a blend worth $5.50/kg?

5. There are 2 gallons of juice solution that contains 2% alcohol. How much pure juice must be added to the juice to reduce the alcohol level to 1.5%?

6. Patricia is 12 years old, and her younger sister Renee is 2 years old. How old will each be when Patricia is twice as old as Renee?

7. Jim is now three times as old as Kathy. Four years ago, Jim was 7 times as old as Kathy was then. Find their present ages.

8. Lawrence can finish a painting job 2 days longer than Marc. Working together, they can finish the job in 2.4 days. How long will it take Lawrence or Marc alone to do the job?

9. Person A can clean a house in 8 hours working alone. Person B can do the same job in 12 hours. If person B starts at 8 am, and person A starts at 10 am, by what time will they both have the house cleaned up?

10. If three pipes are all opened, they can fill an empty swimming pool in 3 h. The largest pipe alone takes one third the time that the smallest pipe takes and half the time that the other pipe takes. How long would it take each pipe to fill the pool by itself?

Scroll down for the answers but before you do so, do the drills yourselves first.  Practice helps perfect your Math skills for the LET.

And here are their answers!

1. 1/3

2. 8%

3. 145

4. 15 $5-nuts and 25 $5.80-nuts

5. 2/3

6. Patricia is 20 while Renee is 10

7. Jim is 18 while Kathy is 6

8. Marc = 4 days, Lawrence = 6 days

9. 2:00 pm

10. largest = 5.5 hrs, smallest = 16.5 hrs, other = 11 hrs

Got them right?  Encountered difficulties?  There’s still enough time to practice Math for the LET, ask your brother, sister, friend, or study buddy to help you.  Or, if you please,  leave a comment or visit our FB page at http://www.facebook.com/mindgymphilippines?ref=tsso and our Math coaches can respond to you quickly.
Happy solving!