**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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