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Naomi wants to buy a new computer for 
$840. She is considering two payment plans that require weekly payments. Which plan will pay for the computer faster?





BUDGET: 
$840


Plan A:




$180 down



$60// wk payments






Plan B:




$0 down



$70// wk payments








Plan A will take 
qquad weeks to pay off the computer.
Plan B will take 
qquad weeks to pay off the computer. 
qquad
5

1616. Naomi wants to buy a new computer for $840 \$ 840 . She is considering two payment plans that require weekly payments. Which plan will pay for the computer faster?\newline\begin{tabular}{|c|c|}\newline\hline \multicolumn{22}{|c|}{ BUDGET: $840 \$ 840 } \\\newline\hline Plan A: & \begin{tabular}{l}\newline$180 \$ 180 down \\\newline$60/ \$ 60 / wk payments\newline\end{tabular} \\\newline\hline Plan B: & \begin{tabular}{l}\newline$0 \$ 0 down \\\newline$70/ \$ 70 / wk payments\newline\end{tabular} \\\newline\hline\newline\end{tabular}\newlinePlan A will take \qquad weeks to pay off the computer.\newlinePlan B will take \qquad weeks to pay off the computer. \qquad \newline55

Full solution

Q. 1616. Naomi wants to buy a new computer for $840 \$ 840 . She is considering two payment plans that require weekly payments. Which plan will pay for the computer faster?\newline\begin{tabular}{|c|c|}\newline\hline \multicolumn{22}{|c|}{ BUDGET: $840 \$ 840 } \\\newline\hline Plan A: & \begin{tabular}{l}\newline$180 \$ 180 down \\\newline$60/ \$ 60 / wk payments\newline\end{tabular} \\\newline\hline Plan B: & \begin{tabular}{l}\newline$0 \$ 0 down \\\newline$70/ \$ 70 / wk payments\newline\end{tabular} \\\newline\hline\newline\end{tabular}\newlinePlan A will take \qquad weeks to pay off the computer.\newlinePlan B will take \qquad weeks to pay off the computer. \qquad \newline55
  1. Calculate Remaining Balance: Calculate the remaining balance for Plan A after the down payment.$840$180=$660\$840 - \$180 = \$660
  2. Determine Weeks for Plan A: Determine the number of weeks required to pay off the remaining balance under Plan A. $660÷$60/week=11 weeks\$660 \div \$60/\text{week} = 11 \text{ weeks}
  3. Calculate Total Weeks for Plan B: Calculate the total number of weeks for Plan B since there is no down payment.\newline$840÷$70/week=12weeks\$840 \div \$70/\text{week} = 12 \text{weeks}

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