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Math Problems on Proportions

1. The document discusses different types of proportions: direct proportion, inverse proportion, and partitive proportion. It provides examples of word problems for each type that involve variables such as time, number of workers, area of houses, etc. and how to set up equations to solve them. 2. Direct proportion examples involve situations where two variables change at the same rate, like sales tax increasing with purchase price. Inverse proportion examples are when one variable decreases as the other increases, like time taken decreasing as more workers are added. 3. Partitive proportion examples involve splitting a quantity into parts according to a given ratio, like splitting T-shirts or money into portions based on a ratio.

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Don McArthney Tugaoen
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221 views2 pages

Math Problems on Proportions

1. The document discusses different types of proportions: direct proportion, inverse proportion, and partitive proportion. It provides examples of word problems for each type that involve variables such as time, number of workers, area of houses, etc. and how to set up equations to solve them. 2. Direct proportion examples involve situations where two variables change at the same rate, like sales tax increasing with purchase price. Inverse proportion examples are when one variable decreases as the other increases, like time taken decreasing as more workers are added. 3. Partitive proportion examples involve splitting a quantity into parts according to a given ratio, like splitting T-shirts or money into portions based on a ratio.

Uploaded by

Don McArthney Tugaoen
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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DIRECT PROPORTION

1. If 9 people can build 15 houses, how many houses can 12 people build?
2. The amount of sales tax on a new car is directly proportional to the purchase
price of the car.
Victor bought a new car for $30,000 and paid $1,500 in sales tax.

Wesley bought a new car from the same dealer and paid $2,375 sales tax.

How much did Wesley pay for his car? 47500


3. The cost of insurance on a house is directly proportional to the area of the
house.
Alan has a 2,500 square-foot house and pays a monthly insurance premium of
$67.50
Bella has a 3,800 square-foot house insured with the same company. What is
her monthly premium? 102.6
4. The stopping distance (d meters) of a car is directly proportional to the square
of its speed (s km/h) when the brakes are applied.

A car travelling at 50 km/h requires a stopping distance of 20 meters.


If the stopping distance is 51.2 meters, what is the speed of the car when the
brakes are applied? 128km/h
5. John pays premiums of $76 per month on his property valued at $152,000
How much does Karen pay on her property valued at $259,000? 129.50
INVERSE PROPORTION

1. If 10 people take 15 days to build a house, how many days do 12 people need to build
one?12.5 days
2. If 13 people can build a boat in 18 days, how long would it take 6 people to build one boat? 39
days
3. If 4 pipes can fill a pool in 25 minutes, how long would it take 10 pipes to fill the same pool?
10 mins
4. 3 pipes take 60 minutes to water the field. How much time it will take to water with 6 pipes?
5. 15 workers can complete a road construction in 7 days. How many workers will be required to
complete this road in 3 days? 35 workers
6. A farmer has enough food to feed 20 animals in his cattle for 6 days. How long would the food
last if there were 10 more animals in his cattle? 4 days
7. Five workers take 12 days to weed a field. How many days would 6 workers take? 10 days
X1Y1 = X2Y2
8. Example:
It takes 4 men 6 hours to repair a road. How long will it take 8 men to do the
job if they work at the same rate?

Solution:
The number of men is inversely proportional to the time taken to do the job.
Let t be the time taken for the 8 men to finish the job.
4×6=8×t
24 = 8t
t = 3 hours
9. If there are 6 builders, it takes 80 days to complete the house.
How many builders must be employed to build the house in just 16 days? 30
days
10. It takes 3 mechanics to repair a car for 8 hours. How long will it take for 8
mechanics to do the repair if they work at the same rate?

PARTITIVE PROPORTION

1. If Ara wants to stock 144 T-shirts and the ratio of white, plain colored and printed is 1:3:2,
how many of each type should Ara stock?
2. A sum of money to be shared is in the ratio 3:5:7. If the smallest share is 2500, How much
money is shared?

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