Monica and Sean are both knitting scarves for Mother's Day. Monica has completed 16 inches of her scarf, and she will knit an additional 10 inches each day. Sean is just starting his scarf, and he will knit 14 inches each day. Which equation can you use to find d, the number of days it will take for Sean's scarf to be the same length as Monica's? Choices: (A)16 + 10d = 14d (B)16d + 10 = 14d How long will it take for Sean's scarf to be the same length as Monica's? ____ days

Question

Monica and Sean are both knitting scarves for Mother's Day. Monica has completed 16 inches of her scarf, and she will knit an additional 10 inches each day. Sean is just starting his scarf, and he will knit 14 inches each day. Which equation can you use to find d, the number of days it will take for Sean's scarf to be the same length as Monica's?   Choices: (A)16 + 10d = 14d (B)16d + 10 = 14d  How long will it take for Sean's scarf to be the same length as Monica's?   ____ days

Bytelearn · Accepted Answer

Set Up Equation: Let's set up an equation to represent the lengths of the scarves after d days. Monica starts with 16 inches and knits 10 inches per day, so her scarf's length after d days is 16 + 10d. Sean starts from 0 inches and knits 14 inches per day, so his scarf's length after d days is 14d. We want to find the number of days d when the lengths are equal.Equation Setup: We can set up the equation as follows: Monica's length = Sean's length, which gives us 16 + 10d = 14d.Isolate d Terms: To solve for d, we need to get all the d terms on one side and constants on the other. We can subtract 10d from both sides to isolate the d terms on one side. This gives us 16 = 14d - 10d.Combine Like Terms: Simplifying the right side of the equation by combining like terms gives us 16 = 4d.Solve for d: Now, we divide both sides by 4 to solve for d. This gives us d = 16 / 4.Final Answer: Calculating 16 / 4 gives us d = 4. So, it will take 4 days for Sean's scarf to be the same length as Monica's.

Full solution

More problems from Solve linear equations with variables on both sides: word problems

Related topics