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Date:___________________

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Grade 8 - Mathematics
2.9 Compound Proportion

Example:
10 men can lay a road 75 Km. long in 5 days. In how many days can 15 men lay a road 45 Km. long.

Solution:
Let x be number of days.
Ratio of days = 5:x.
Number of men is inversely proportional to number of days.
So inverse of ratio of men = 15:10 = 3:2.
Length of road is directly proportional to number of days.
Therefore, Ratio of lengths = 75:45 = 5:3
5:x = 3*5:2*3
x*3*5 = 5*2*3
x = (5*2*3)/(3*5)
x = 2.
Number of days required = 2 days.


Directions: Solve the following problems. Also write at least ten examples of your own.

Name: ___________________

Date:___________________

Grade 8 - Mathematics
2.9 Compound Proportion

Q 1: The dorm charges $6300, for 35 students for 24 days , in how many days will the dorm charges be $3375 for 25 students.
18 days
16 days
15 days
17 days

Q 2: Wheat costing $480 is needed for 8 members for 20 days. What is the cost of wheat required for 12 members for 15 days.
$530
$520
$540
$510

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Question 4: This question is available to subscribers only!


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