The U-Drive Rent-A-Truck company plans to spend $13 million on 320 new vehicles. Each commercial van will cost $25,000, each small truck $50,000, and each large truck$80,000. Past experience shows that they need twice as many vans as small trucks. How many of each type of vehicle can they buy?They can buyvans,small trucks, andlarge trucks.

Answered: The U-Drive Rent-A-Truck company plans…

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter2: Solving Linear Equations

Section2.4: Solve Mixture And Uniform Motion Applications

Problem 2.81TI: During her shift at the museum ticket booth, Leah sold 115 tickets for a total of $1,163. Adult...

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Question

The U-Drive Rent-A-Truck company plans to spend $13 million on 320 new vehicles. Each commercial van will cost $25,000, each small truck $50,000, and each large truck
$80,000. Past experience shows that they need twice as many vans as small trucks. How many of each type of vehicle can they buy?
They can buy
vans,
small trucks, and
large trucks.

Expert Solution

Step 1

An equation is a statement in which two algebraic expressions are equal. If the equation is of the first order, (i.e. the highest power of the variable is 1) then it is called a linear equation.

A set of 2 (or more) linear equations in two (or more) variables, which are satisfied simultaneously by the same unique solution, is called simultaneous equations or a system of equations.

There are several methods to solve a system of linear equations in 2 (or more) variables. For example, elimination method, matrix method, substitution method, etc.