A car dealership sells a car in a basic model (b) the fully-loaded model (f) for $20,000 and $25,000 respectively. During the month of June, the dealership sells 40 of these cars with sales totaling $880,000. How many of each model does the dealership sell?

Which system of equations matches the situation?

Question

Mathematics

Nathanial Rasmussen

16 January, 06:25

A car dealership sells a car in a basic model (b) the fully-loaded model (f) for $20,000 and $25,000 respectively. During the month of June, the dealership sells 40 of these cars with sales totaling $880,000. How many of each model does the dealership sell?

Which system of equations matches the situation?

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Answers (1)

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Giovani Francis · Answer 1

For this item, we let x and y be the number of cars in a basic model (b) and loaded model (f), respectively. The sum of these two numbers should be 40 and the system of linear equation that would best represent the given scenario is,

x + y = 40

20,000x + 25,000y = 880,000

The values of x and y from the equations are 24 and 16. Thus, the dealer sold 24 of the basic model (b) and 16 of the loaded model (f).