A television with a price of $300 is to be purchased with an initial payment of $60 and weekly payments of $30. Which of the following equations can be used to find the number of weekly payments, w, required to complete the purchase, assuming there are no taxes or fees?
Correct answer: C. 300 = 30w + 60
- A. 300 = 30w − 60
- B. 300 = 30w
- C. 300 = 30w + 60
- D. 300 = 60w − 30
Explanation
Choice C is correct. To complete the purchase, the initial payment of $60 plus the w weekly payments of $30 must be equivalent to the $300 price of the television. The total, in dollars, of w weekly payments of $30 can be expressed by 30w. It follows that 300 = 30w + 60 can be used to find the number of weekly payments, w, required to complete the purchase.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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