Formulate a system of equations for the situation below and solve. Cantwell Asso

Question

Formulate a system of equations for the situation below and solve. Cantwell Associates, a real estate developer, is planning to build a new apartment complex consisting of one-bedroom units and two- and three-bedroom townhouses. A total of 168 units is planned, and the number of family units (two- and three-bedroom townhouses) will equal the number of one-bedroom units. If the number of one-bedroom units will be 3 times the number of three-bedroom units, find how many units of each type will be in the complex. one-bedroom units units two-bedroom townhouses units three-bedroom townhouses units

Explanation / Answer

Complex type Number to be constructed 1-Bedroom x1 2-Bedroom x2 3-Bedroom x3 Equation#1: Total should be 168 x1+x2+x3=168 Equation#2 x2+x3=x1 Equation#3 x1=3*x3 3 unknowns and 3 simultaneous equations to be solved put value of x1 & x2 in eq#1 we get Complex type Number to be constructed 1-Bedroom 84 2-Bedroom 56 3-Bedroom 28

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