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?
SAT · Math · previous-year question
- A.$300=30 w-60$
- B.$300=30 w$
- C.$300=30 w+60$correct
- D.$300=60 w-30$
Answer
C. $300=30 w+60$
Explanation
Choice $\mathbf{C}$ 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 $30 w$. It follows that $300=30 w+60$ can be used to find the number of weekly payments, $w$, required to complete the purchase.Choice A is incorrect. Since the television is to be purchased with an initial payment and $w$ weekly payments, the price of the television must be equivalent to the sum, not the difference, of these paymen
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