   Chapter 4.6, Problem 45PS

Chapter
Section
Textbook Problem

For Problems 45-56, set up an algebraic equation and solve each problem. (Objective3)45. A sum of $1750 is to be divided between two people in the ratio of 3 to 4. How much each person receives? To determine To solve: The share of each person in total sum of money. Explanation Procedure used: “Model and solve system of linear equations” Step 1: Identify the given problem. Step 2: Recognize and algebraically name the unknowns. Step 3: Translate the problem statement as a system of linear equations using the variables from Step 2. Step 4: Solve the system as obtained in Step 3. Step 5: State the answer statement. Calculation: Step 1: The given problem is based on share of two persons Step 2: There are two unknowns in the problem. Let x be the share of first person and y be the share of second person. Step 3: Total sum of money is$1750.

x+y=1750(1)

The share between two people is in the ratio of 34

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