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THREE
TYPES OF
PROPORTION
1. DIRECT PROPORTION-
When one quantity increases,
the other quantity increases at
the same rate and vice versa.
EX: The bus fare for an
80 km trip is P65. how
much is the bus fare for
a 320 km trip?
2. INVERSE PROPORTION-
When one quantity increases,
the other quantity decreases,
and vice versa.
EX : If 6 men can plow
a field in 2 days. How
long will 3 men do it?
3. PARTITIVE PROPORTION
A whole is divided into
parts that is proportional to
the given ratio.
EX : The sum of two
numbers is 215. If the
ratio is 2:3, find the larger
number.
IDENTIFY THE TYPE OF
PROPORTION THAT THE
FOLLOWING PROBLEMS
ILLUSTRATE. THEN SOLVE THE
PROBLEMS.
1. It takes 3 salesmen 8 days to
sell 5, 000 boxes of soap. If 2
more salesmen are added, how
long will it take them?
2. If 3 eggs cost P8.00, how much
will 12 eggs cost?
3. Three boys sold garlands in the
ratio of 2:3:4. Together they sold
225 garlands. How many garlands
did each boy sell?
4. A basket of food is sufficient to
feed 15 persons for 3 days. How
many days would it last for 10
persons?

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3 types of proportion

  • 2. 1. DIRECT PROPORTION- When one quantity increases, the other quantity increases at the same rate and vice versa. EX: The bus fare for an 80 km trip is P65. how much is the bus fare for a 320 km trip?
  • 3. 2. INVERSE PROPORTION- When one quantity increases, the other quantity decreases, and vice versa. EX : If 6 men can plow a field in 2 days. How long will 3 men do it?
  • 4. 3. PARTITIVE PROPORTION A whole is divided into parts that is proportional to the given ratio. EX : The sum of two numbers is 215. If the ratio is 2:3, find the larger number.
  • 5. IDENTIFY THE TYPE OF PROPORTION THAT THE FOLLOWING PROBLEMS ILLUSTRATE. THEN SOLVE THE PROBLEMS. 1. It takes 3 salesmen 8 days to sell 5, 000 boxes of soap. If 2 more salesmen are added, how long will it take them?
  • 6. 2. If 3 eggs cost P8.00, how much will 12 eggs cost? 3. Three boys sold garlands in the ratio of 2:3:4. Together they sold 225 garlands. How many garlands did each boy sell? 4. A basket of food is sufficient to feed 15 persons for 3 days. How many days would it last for 10 persons?