Practice the questions given in the worksheet on direct variation using method of proportion.
We know, in direct variation if one increases, other also increases and if one decreases, the other also decreases.
In direct variation: \(\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}}\)
or,\(\frac{a_{1}}{b_{1}} = \frac{a_{2}}{b_{2}}\)
For examples of direct variation:
● More working hours, more work will be done.
Less working hours, less work will be done.
● More workers at work, more work is done.
Less workers at work, less work is done.
Read the questions carefully to solve different types of problems based on direct variation using method of proportion. Click here to know or learn more about these problems.
1. A man spends Rs. 2080 in 13 days. How much will he spend in 30 days?
2. 4 bags of rice weigh 120 kg. How many such bags will weigh 600 kg?
3. A car travels 140 km on 7 liters of petrol. How far would it travel in 3 liters of petrol?
4. If the weight of 7 sheets of paper is 28 g, find how many papers will weigh 1 .5 kg?
5. Carol types 57 words in 3 minutes. How many words would she type in 1 hour?
6. 14 workers can dig 9 m long trench in one day. How many workers would dig 27 m long trench of the same type in 1 day?
7. A man takes 17 steps to cover 3.4 m distance. In 92 steps how much distance will be covered?
Answers for the worksheet on direct variation using method of proportion are given below to check the exact answers of the above problems.
Answers
1. $4800
2. 20 bags
3. 60 km
4. 375 sheets
5. 1140 words
6. 42 workers
7. 18.4 meter
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