Solving Problems With Unit Rates :
We can solve many real world problems with unit rates.
If the cost of 7 shirts is $210, then find the cost of 10 shirts.
We can solve the above problem with unit rate.
Here, first we find the unit rate (cost of 1 shirt).
Then we can find the cost of 10 shirts.
Cost of 1 shirt = 210 / 7 = $30.
Cost of 10 shirts = 10 x $30 = $300
Examples 1 :
At a summer camp, the campers are divided into groups. Each group has 16 campers and 2 cabins. How many cabins are needed for 112 campers ?
First we have to find how many campers can accommodate in one cabin.
To find the number of campers accommodated in 1 cabin, we have to divide 16 by 2.
16/2 = 8
8 campers can accommodate in 1 cabin.
To find the number of cabins required for 112 campers, we have to divide 112 by 8.
112 / 8 = 14
Hence, 14 cabins needed for 112 campers.
Examples 2 :
If 350 miles of distance covered 7 hours, find the distance covered by 6 hours ?
First we have to find how many miles of distance covered in 1 hour.
To find the distance covered in 1 hour, we have to divide 350 by 7.
350/7 = 50
In 1 hours, 50 miles of distance covered.
In 6 hours, the distance covered = 6 x 50 = 300 miles.
Examples 3 :
Petra jogs 3 miles in 27 minutes. Find the unit rate in minutes per mile. How long would it take her to jog 5 miles ?
To find the unit rate in minutes per mile, we have to divide 27 minutes by 3 miles.
27 ÷ 3 = 27/3 = 9
Unit rate in minutes per mile = 9
That is, it takes 9 minutes to cover 1 mile of distance.
To find the time taken to cover 5 miles, we have to multiply 5 and 9
5 x 9 = 45
Therefore, it will take 45 minutes to cover 5 miles of distance.
After having gone through the stuff given above, we hope that the students would have understood, how to solve problems using unit rates.
Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.
You can also visit our following web pages on different stuff in math.
APTITUDE TESTS ONLINE
ACT MATH ONLINE TEST
TRANSFORMATIONS OF FUNCTIONS
ORDER OF OPERATIONS
Converting customary units worksheet
Customary units worksheet
Integers and absolute value worksheets
Nature of the roots of a quadratic equation worksheets
Trigonometry heights and distances
MATH FOR KIDS
Word problems on linear equations
Trigonometry word problems
Word problems on mixed fractrions
Converting repeating decimals in to fractions