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Monica and Sean are both knitting scarves for Mother's Day. Monica has completed 1616 inches of her scarf, and she will knit an additional 1010 inches each day. Sean is just starting his scarf, and he will knit 1414 inches each day.\newlineWhich equation can you use to find dd, the number of days it will take for Sean's scarf to be the same length as Monica's?\newlineChoices:\newline(A) 16d+10=14d16d + 10 = 14d\newline(B) 16+10d=14d16 + 10d = 14d\newlineHow long will it take for Sean's scarf to be the same length as Monica's?\newline___\_\_\_ days\newline

Full solution

Q. Monica and Sean are both knitting scarves for Mother's Day. Monica has completed 1616 inches of her scarf, and she will knit an additional 1010 inches each day. Sean is just starting his scarf, and he will knit 1414 inches each day.\newlineWhich equation can you use to find dd, the number of days it will take for Sean's scarf to be the same length as Monica's?\newlineChoices:\newline(A) 16d+10=14d16d + 10 = 14d\newline(B) 16+10d=14d16 + 10d = 14d\newlineHow long will it take for Sean's scarf to be the same length as Monica's?\newline___\_\_\_ days\newline
  1. Identify Equation: Identify the correct equation to represent the scenario where Monica and Sean's scarf lengths are equal. Monica starts with 1616 inches and knits 1010 inches per day. Sean starts from 00 inches and knits 1414 inches per day. The equation should equate Monica's total length to Sean's total length after dd days.
  2. Solve for dd: Solve the equation for dd. Subtract 10d10d from both sides to isolate terms involving dd on one side.
  3. Divide to Solve: Divide both sides by 44 to solve for dd.

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