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.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.4: Using Equations To Solve Problems
Problem 31P
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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.
Transcribed Image Text: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.

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