UNIT RATES

Example 1 :

If 12 chickens lay 36 eggs, how many eggs will be laid by 1 chicken.

Solution :

So, one chicken will lay 3 eggs.

Example 2 :

If 192 students can accommodate in 4 buses, how many students can accommodate in  3 buses?

Solution :

To find the number of students accommodated in 3 buses, we have to find the unit rate.

That is, we have to find the number of students can accommodate in 1 bus.

Then, multiply it by 13.

So, 144 students can accommodate in 3 buses.

Example 3 :

If John can type 2400 words in 1 hour, find the number of words types by him in 13 minutes.

Solution :

To find the number of word typed by John in 13 minutes, we have to find the unit rate.

That is, we have to find the number of words typed by him in 1 minute.

Then, multiply it by 13.

So, the number of words types by John in 13 minutes is 520 words.

Example 4 :

Cost of one dozen fountain pens is $180 and cost of 8 ball pens is $56. Find the ratio of the cost of a fountain pen to the cost of a ball pen.

Solution :

To find the ratio of the cost of a fountain pen to the cost of a ball pen, we have to find the unit rate.

That is, we have to find the cost of each pen.

Cost of 12 fountain pens = $180.

Cost of 8 ball pens = $56.

The ratio between the cost of a fountain pen and a ball pen is

= 15 : 7

Example 5 :

David can do 90 units of a work in 180 minutes and Alex can complete 80 units of the same work in 2 hours. Find the ratio of number of units of work completed by David and Alex.

Solution :

To find the ratio of number of units of work completed by David and Alex, we have to find the unit rate.

That is, we have to find the number of units of work completed by each in 1 hour.

David :

Alex :

The ratio of number of units of work completed by David and Alex is

= 30 : 40

= 3 : 4

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