The expressions for cost of renting x chairs by two agencies is shown below.
For a total budget of $1075, find the number of chairs that are provided by each Agency 1 and Agency 2 respectively.
A
75, 50
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B
50, 75
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C
100, 70
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D
70, 100
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Solution
The correct option is C 100, 70 Total budget = $1075
Number of tables provided by Agency 1 for $1075:
6.5x + 425 = 1075 ⟹ 6.5x = 1075 - 425 ⟹ 6.5x = 650 ⟹ x = 100
Similarly,
Number of tables provided by agency 2 for $1075:
7.5x + 550 = 1075 ⟹ 7.5x = 1075 - 550 ⟹ 7.5x = 525 ⟹ x = 70
Hence, Agency 1 and Agency 2 provide 100 and 70 chairs respectively.