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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation
8.14 Percentage Word Problems - 1

Examples:
  1. Cathy and Jill were running for school representative. Cathy received thirty percent of the votes. Jill received four hundred and twenty votes. How many votes were cast in the school, assuming that everybody in the school voted for either Cathy or Jill?
    Solution:
    Given:
    Cathy received 30% of the votes.
    Jill received four hundred and twenty votes = 420
    So, percentage Jill received is 100 - 30 = 70%
    Let 'x' be the total number of votes cast in the school.
    Jill received 70% of x which is 420, that can be written in the form of an equation:
    70% of x = 420 ----calculating or solving for x
    70x/100 = 420
    70x = 42000
    x = 42000/70 = 4200/7 = 600

  2. In a school play Emma was in charge of selling tickets. Tickets were available for adults and students. Emma reported that 152 more student tickets than adult tickets were sold. 70% of the tickets sold were student tickets. How many student tickets were sold?
    Solution:
    Start with the unknown to find that is student tickets, so
    Let 's' be the student tickets and 'a' be the adult tickets sold.
    Total tickets sold is s+a
    152 more student tickets than adult tickets were sold:
    s = 152 + a
    70% of the tickets sold were student tickets
    70% of s+a = s
    70(s+a)/100 =s
    We have 2 unknowns and two equations so solving for s and a we have:
    s = 152 + a
    s - 152 = a
    70(s+a)/100 =s
    70(s+a) = 100s substituting a = s - 150
    70s + 70(s-152) = 100s
    70s + 70s - 10640= 100s
    140s -100s = 10640
    40s = 10640
    s =10640/40 = 266

  3. Ron earns thirty-four percent on sales of hot dog and twelve percent on sales of soda. This week, he earned $55.88. His sales of hot dog were $2 more than his sales of soda. How much did Ron earn by selling hot dogs?
    Solution:
    Let 'h' be amount he earned by selling hot dogs and 's' be the by selling soda
    Sales of hot dogs were $2 more than his sales of soda
    h = s + 2
    34% hot dog 12% - soda ----------$55.88
    (34/100 x h) + (12/100 x s) = 55.88
    34h/100 + 12s/100 =55.88
    34h + 12s =8258 substituting h=s+2
    34(s+2) + 12s =5588
    34s+68 + 12s =5588
    34s + 12s =5588 - 68
    46s = 5520
    s = 5520/46 = 120
    h = s + 2 = 120 + 2 = 122

  4. Emma is a real estate agent. Emma just sold a house for her client, Matthew. Matthew paid Emma five percent commission on the selling price. Matthew received $228,950 after paying the commission for the house. What was the actual selling price of the house? Solution:
    x - 5% commission = $228,950
    x - 5x/100 =$228,950
    100x - 5x = 22895000
    95x = 22895000
    x = 22895000/95 = 241,000

Directions: Solve the following word problems. Also write at least ten word problem examples of your own.
Q 1: Kim earns 3600 dollars per month. She spends 8 1/3% of her income towards house rent and 33 1/3% towards food. Find the amount she spends on food?
300 dollars
1200 dollars
1000 dollars

Q 2: In a school with 650 students, 14% were vegetarians. Find the number of vegetarian students in the school.
91 students
80 students
60 students

Q 3: The population of a country in 1981 was 534 millions. It grew by 23% over the next 10 years. What would be the population in 1991?
656.82 millions
656 millions
650.82 millions

Q 4: Number of motor bikes sold in 1986 and 1987 in U.S. were 636,000 and 579,000 respectively. Find the percentage drop in sales in 1987 over 1986?
8.96%
80%
89.6%

Q 5: The number of color T.V. sets produced in 1987 and 1990 in U.S. were 12 millions and 22 millions respectively. Find the percentage increase in production from 1987 to 1990?
83.3%
80%
83.9%

Q 6: A bicycle costs 950 dollars. Its value decreases 5% every year due to usage. What will be its price after a year ?
902 dollars
900 dollars
902.5 dollars

Q 7: In a class of 60 students, 33 students selected to go to the library and rest of them went to gym. What is the percent of the class that chose to go to gym?
50%
55%
45%

Q 8: John earns 3600 dollars per month. He spends 8 1/3% of his income towards house rent and 33 1/3% towards food. Find the amount he spends on rent.
500 dollars
1200 dollars
300 dollars

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Question 10: This question is available to subscribers only!


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