Problem 1 :
John's family expenses are 7000 dollars a month. He made a pie chart on their expenses for food, housing, saving, clothing, entertainment and music as shown below. How much money does he spend for clothing and entertainment ?
Solution :
John spends 11% for clothing and 13% for entertainment. The sum of these two expenses are 11 + 13 = 24%
To find the exact amount, we need to calculate 24% of his salary.
His salary = 7000 dollars
= 24% of 7000
= (24/100) x 7000
= $1680
So, John spends $1680 for clothing and entertainment.
Problem 2 :
Nanyung university offers four applied majors and monitors the number of students in each.
What fraction of the students in applied majors are majoring in computer science ?
Solution :
Number of students applied in computer science = 190
Total number of students = 210 + 360 + 190 + 100
= 860
To find fraction divide 190 by 860,
= 190/860
= 19/86
Problem 3 :
The graph below shows the information on the number of farm animals owned by Betty.
(i) What is the total percentage of animal owned by Jason and Walter ?
(ii) How many animals are owned by Daniel ?
Solution :
Percentage of animals owned by Jason = 30%
Percentage of animals owned by Walter = 120%
Total percentage = (30/100) + (120/100)
= (30 + 120)/100
= 150/100
So, 150% of animals owned by Jason and Walter.
Percentage of animals owned by Daniel = 50%
From this we have to understand that, Daniel is having 50% of animals in total number of animals
Total number of animals = 120 + 90 + 50 + 10 + 30
= 300
Total number of animals that Daniel has
= (50/100) x 300
= 150
Problem 4 :
A band from Bloomington went on tour over the summer, and each member chipped in for the cost of gas.
What fraction of the gas money came from Karlene ?
Solution :
Total contribution for gas costs is
= 430 + 720 + 820 + 490 + 760
= $3220
Amount contributed by Karlene is $720.
Fraction of the gas money came from Karlene is
= 720 / 3220
= 36/161
Problem 5 :
A cheese merchant in Springfield sells cheeses from a variety of regions, and he noted how much from each region was sold last year.
What fraction of the cheese sold was from Spain ?
Solution :
Total amount of cheese sold (in kilograms) is
= 830 + 920 + 940 + 640 + 680
= 4010 kg
Amount of cheese from Spain is 940 kg.
Fraction of the cheese sold was from Spain :
= 940 / 4010
= 94/401
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