1. Shammel went to a store, spent half of her money and then P500 more. She went to a second
store, spent half of her remaining money and then P500 more. She then had no money left. How
much money did she have to begin with when she went to the first store?
2. Jane is 5 years older than Loren. Twice Jane’s age plus thrice Loren’s age is equal to 25. What are
the ages of the two girls?
3. Romeo works as an egg carrier in an egg store. This morning, his task was to carry 50 eggs from
the car to the store. For every egg that arrives intact, he was paid P0.50. However, he paid back
P1.00 for each one that he broke. Romeo was able to earn P13 from that job. How many eggs did
he break?
4. How can two fathers and two sons divide nine P100-bills evenly among them? Each must receive
an equal number of P100-bills.
5. A cow and a carabao were traveling together heavily laden with sacks of rice. After a time, the
carabao complained to the cow that his load was too heavy. “What’s the matter?”, said the cow,
“You shouldn’t complain, for had I taken one of your sacks, I would have had to carry twice as
many sacks as you. On the other hand, if you agree to take one of mine, we’d have the same
number of sacks.” How many sacks did each have?
6. Juana lived of her life in Guimaras, in Iloilo, and in Bacolod City. She then moved to Capiz and
died 11 years later. How long did Juana live?
7. The sum of 5 consecutive natural numbers is 145. What is the middlemost of these numbers?
8. If a certain number of cats and chickens have 30 heads and 100 feet, how many of each are there?
9. The average of three counting numbers is 89. None is less than 80. How big can the biggest be?
10. Andrei can arrange his photos by 12, 18, or 24 on a page without any leftover. What is the smallest
number of photos for which he can do this?
11. The sum of three consecutive even numbers is 144. What is the average of these numbers?
12. The product of two numbers is 84. Their sum is 19. What are the numbers?
13. Shawn sells guavas and guyabanos in his fruit stand. Five guavas and one guyabano cost P60. Two
guavas and three guyabanos cost P61. At these prices, how many pesos do 12 guavas and 5
guyabanos cost?
14. Two 2-digit numbers use the same digits in reverse order. The sum of the two digits is 11 and the
difference between the two numbers is 45. What are the two numbers?
15. Find the greatest number which divides 362 and 506, leaving 2 as remainder in each case.