University:
East Georgia State College
Course:
MATH 1001 | Quantitative Skills & Reasoning
Academic year:

2021
Views:

449

Pages:

3
Author:

Clint W.

Chapter 12 Word Problems #1 1. Jack's father rented a car while they were on vacation. He paid a rental fee of $20.00 per day, plus $0.20 a mile. He paid $25.00 for mileage and his total bill for renting the car was $165.00. For how many days did he rent the car? Variable: x = the number of days he rented the car Equation: 20x + 25 = 165 Solution: 7 days 20x + 25 = 165 20x = 140 x = 7 2. Two years of local Internet service costs $685, including the installation fee of $85. What is the monthly fee? Variable: x = the monthly fee Equation: 24x + 85 = 685 Solution: $25 24x + 85 = 685 24x = 600 x = 25 3. A taxi charges $1.50 plus a fee of $0.60 for each mile traveled. If a ride costs $5.40, how many miles was the ride? Variable: x = the number of miles Equation: 0.60x + 1.50 = 5.40 Solution: 6.5 miles 0.60x + 1.50 = 5.40 0.60x = 3.90 x = 6.5 4. Last week, Carlie had several rice cakes and 3 granola bars as snacks. The snacks contained a total of 800 calories. If each granola bar had 120 calories and each rice cake had 40 calories, how many rice cakes did she have? Variable: x = the number of rice cakes Equation: 120(3) + 40x = 800 Solution: 11 rice cakes 360 + 40x = 800 40x = 440 x = 11 5. A new one-year membership at Vista Tennis Center costs $160. A registration fee of $28 is paid up front, and the rest is paid monthly. How much do new members pay each month? variable: Equation: X= amount of monthly payment 11 160 = 28 + 12x (- 28 - 28)/(132/12 = (12x)/12) x = 11 6. Each Saturday, a gym holds a 45-minute yoga class. The weekday yoga classes last 30 minutes. the number of weekday classes varies. Last week, the yoga classes totaled 165 minutes. How many weekday yoga classes were held? variable: Equation: x = ne number 30x + 45 = 165 of weekday classes weekday weekday clas 4 classes -45-45 (30x)/30 = 120/30 X = 4 7. The school purchased baseball equipment and uniforms for a total of $1,836. The equipment cost $612, and the uniforms were $25.50 each. How many uniforms did the school purchase? variable: x = hc number of uniforms. Solution: 48 uniforms Equation: 25.5x + 612 = 1, 836 -612-612 (25.5x)/25.5 = (1, 224)/25.56 x = 48 8. Troy owns three times as many trading cards as Hillary. Subtracting 9 from the number of trading cards Troy owns and then dividing by 6 gives the number of cards Sean owns. If Sean owns 24 trading cards, how many trading cards does Hillary own? variable: Equation x= the number of cards Hillary owns Solution: 51 Cards zeta * (3psi - 9)/zeta = 24zeta