The expressions for cost of renting x tables by two agencies is shown below. If the budget is of $1550, the agency that provides more tables is
A
Agency 1
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B
Agency 2
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C
both will be same
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Solution
The correct option is C both will be same Cost of renting x tables from each agency is given as:
Total budget = $1550
Number of tables provided by Agency 1 for $1550:
5.25x + 500 = 1550 ⟹ 5.25x = 1550 - 500 ⟹ 5.25x = 1050 ⟹ x = 200
Similarly,
Number of tables will be provided Agency 2 for $1550:
6x + 350 = 1550 ⟹ 6x = 1550 - 350 ⟹ 6x = 1200 ⟹ x = 200
Hence, both the agencies provide the same number of tables in the given budget.