Section 1.8 Problem-Solving Strategies 73 Solving a Consumer Application A 5-speed Jeep Cherokee gets 23 mpg (miles per gallon) on the highway. How many gallons of gas would be required for a 667-mi drive from El Paso to Dallas? Solution: Familiarize and draw a picture. 23 mi 23 mi 23 mi 23 mi 23 mi 23 mi Given: The total distance, 667 mi, and the gas mileage, 23 mpg Find: How many increments of 23 mi would be required for the trip? Operation: This is a situation where 667 mi must be divided into 23-mi increments. Use the operation of division. 29 23667 46 207 207 0 The drive from El Paso to Dallas in a Jeep Cherokee will require 29 gal of gas. 3. Applications Involving Multiple Operations Sometimes more than one operation is needed to solve an application problem. Solving a Consumer Application Example 5 Jorge bought a car for $18,340. He paid $2500 down and then paid the rest in equal monthly payments over a 4-year period.Find the amount of Jorge’s monthly payment (not including interest). Solution: Familiarize and draw a picture. Given: Total price: $18,340 Down payment: $2500 Payment plan: 4 years (48 months) Find: Monthly payment El Paso Dallas 667 mi Example 4 Answers 4. 116 bags 5. $115 per month $18,340 Original cost of car 2,500 Minus down payment $15,840 Amount to be paid off Divide payments over 4 years (48 months) Skill Practice 4. A vat of flour at a food distributor holds 580 lb of flour. How many 5-lb bags of flour can be filled from one vat? TIP: The solution to Example 4 can be checked by multiplication. Twenty-nine gallons of gas at 23 mpg produces (29 gal)(23 mi/gal) 667 mi Skill Practice 5. Danielle buys a new entertainment center with a new plasma television for $1680. She pays $300 down, and the rest is paid off in equal monthly payments over 1 year. Find Danielle’s monthly payment.
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