## Algebra 1

Published by Prentice Hall

# Chapter 2 - Solving Equations - 2-1 Solving One-Step Equations - Practice and Problem-Solving Exercises - Page 86: 53

#### Answer

$x=4500$

#### Work Step by Step

Since 1500 is one-third of the budget, you must multiply it by three to find the amount of the entire budget. $x=1500\times3$ When you multiply these, you get: $x=4500$ Therefore, the full budget is 4500. An alternate way to do this is to Cross-Multiply. $\frac{1500}{x}=\frac{1}{3}$ The first step of cross multiplication is multiplying the numerator of the first fraction by the denominator of the second. $1500\times3=4500$ Next, you must divide it by the numerator of the first fraction. Since the numerator is one, it will not have any effect in cross multiplication. Therefore: $x=4500$

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