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### Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation5.15 Word Problems - A Fraction of a Number 3

 Example 1: Emma's vegetable garden has 50 tomatoes. 1/5 of them were eaten by insects. How many tomatoes did she have left. Solution: Total tomatoes is 50. The fraction part of the tomatoes eaten by insects = 1/5 The fraction part of tomatoes remaining is 1 - 1/5 = 4/5 The tomatoes left = 50 x 4/5 = 40 tomatoes Directions: Solve the following word problems.
 Q 1: Fred has a discount coupon off for one merchandise in a department store. He pays 2/3rd of the ticket price of the item. If he bought a Jacket for \$40, what was its ticket price. (Assuming no sales tax) \$45\$60\$50 Q 2: 14 students show up for baseball practice on Tuesday. If this represents 7/8 of the baseball team, what is the total number of students on the team.201615 Q 3: Aron has 4 times as many pencils as Greg. If Greg has 80 pencils, what is the total number of pencils that both have?360320400 Q 4: Mr.B puts \$9,000 in charges on his credit card. If these charges are equal to 3/4th of his credit limit. What is his credit limit?(Hint: Let the total credit limit be x. Since Mr.B spends 3/4 of the credit limit, this translates to 3/4x. This is equal to \$9,000, so your equation is (3/4)x. This is equal to \$9000, so the equatio is 3/4x = 9000. Therefore x = ____)\$10,000\$18,000\$12,000 Q 5: George has an MP3 player. He only has room for 600 more minutes of music left on it. If he has filled it to 4/5 of its capacity, what is the total number of minutes of music that it can hold?(Hint: Let the total number of minutes of music on MP3 player be x. Since it is filled to 4/5 of its capacity, it has 1-4/5 of its capacity. This translates to (1/5)x. This is equal to 600 minutes, so the equation is (1/5)x = 600. Therefore x = ____)3,0001,8001,200 Q 6: Harry used 260 minutes on his cell phone. If he has 12/25 of the minutes on his monthly plan limit left, what is the total number of minutes in his monthly plan limit?(Hint: Let the total number of minutes on the plan be x. Since Harry has 12/25 of the minutes left, he has used 1 - 12/25 = 13/25 of them. This translates to (13/25)x. This is equal to 260 minutes so the equation is (13/25)x = 260. Therefore x=___)500540600 Q 7: Greg spent \$80 for games. If this is 4/5 of the amount his dad gave him. What is the total amount his dad gave?\$145\$160\$100 Q 8: Jan's mom works at a department store and gets a discount off the purchases she makes there. Her discount is: she pays 4/5 of the ticket price for an item. If she bought a dress for \$40 what was its ticket price? (Calculate assuming there is not sales tax)(Hint: Let the ticket price be x. Jan's mom pays 4/5 of the ticket price, which translates to 4/5x. The price she paid is \$40. Therefore the equation is 4/5x=40.)\$36\$40\$50 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!