DIRECT PROPORTION
LET’S PRACTICE
Solve the following problems.
1. A worker receives $70 for 8 hours of a work a day. How much should he receive for 2 hours?
2. In a certain school, there are 7 teachers for every 252 students. If there are 468 students, how
many teachers are needed?
3. Vignette can type 301 words in 7 minutes. How many words can she type in 12 minutes?
4. A bus uses 2.5 L of gasoline for every 8 km. How many liters of gasoline would a bus use on a
trip of 275 km?
5. A recipe calls for 4 cups of sugar for 7 cups of water. How many cups of water will be needed for
32 cups?
ENHANCE YOUR SKILLS
Solve the following problems.
1. If 24 L of paint can 315 m2 of surface, how many liters of paint will be needed for 105 m2.
2. A tree casts a 15-meter shadow when a building 20 m high, cast a shadow of 18 m. Find the
height of the tree?
3. On a plan, a distance of 2.5 cm represents 12 km. How many kilometers will be represented by 8
centimeters on a map?
4. Mr. dela Cruz uses 18 yards of cloth for making 5 pants. How many pants will he make for 72
yards of cloth?
5. Mangoes cost $20 for 5 kilos. How much will 24 kilos of mangoes cost?
APPLY YOUR SKILLS
1. It takes 15 minutes to saw a log into 4 pieces. How long would it take to saw it in 12 pieces?
2. Kris earns P1, 250 in 3 weeks. How much will she earn at the end of 3 months?
PARTITIVE PROPORTION
LET’S PRACTICE
Solve the following problems.
1. The ratio of two numbers is 8:13 and their sum is 147. Find the two numbers.
2. Partition 140 to 8:9:11.
3. The wood is to be cut into two parts in the ratio 10:15. If the wood has a length of 100 dm, find
the length of the bigger part.
4. The ratio of two complementary angles is 2:3. Find the smaller angle.
5. The earnings of a father and his daughter are 9:7. If they both receive $16000, what is the share
of each?
EHANCE YOUR SKILLS
1. In a certain school, there are 1, 530 students in all. How many girls if the ratio of boys to girls is
5:12?
2. Two supplementary angles are in the ratio 5:13. Find the bigger angle.
3. Four men harvested 2, 500 kilograms of fruits. The harvest will be shared in the ratio 1:2:3:4.
Find the share of each of the four.
4. In a classroom election, Jenny received 2 votes for every 5 votes received by Anthony. If 70
votes were cast, how many votes did Anthony receive?
5. The ratio of two angles in a triangle is 2:3:4. Find the angles.
APPLY YOUR SKILLS
1. Divide 540 into parts proportional to 1:8.
2. Mrs. Tan has a lot measuring 4, 000 m2. She wants to divide it among her 3 daughters in the
ratio 1:2:5. How many square meters will each girl receive?
3. If 170 apples were divided among 3 boys in the table in the ratio 2:3:5, how many did each boy
get?
4. A tailoring shop needs to finish 2,400 blouses of 3 different colors, white, blue and orange, in
the ratio 1:2:5. How many orange blouses must be finished?
5. Four numbers are in the ratio 1:4:5:9. If largest number is 135, what is the sum of the four
numbers?