Donate [deA clothier who only makes shirts and pants can make a shirt in 4 hours and a pair of pants in 6 hours. Which of the following equations shows the number of shirts, s, and the number of pants, p, that the clothier can make in a 40 hour work week?Choose 1 answer:(A) 6s+4p=40(B) 4s+6p=40(C) 4s+6p=40(D) 6s+4p=40Show calculator6 of 10
Q. Donate [deA clothier who only makes shirts and pants can make a shirt in 4 hours and a pair of pants in 6 hours. Which of the following equations shows the number of shirts, s, and the number of pants, p, that the clothier can make in a 40 hour work week?Choose 1 answer:(A) 6s+4p=40(B) 4s+6p=40(C) 4s+6p=40(D) 6s+4p=40Show calculator6 of 10
Understand the problem: Understand the problem.The clothier can make a shirt in 4 hours and a pair of pants in 6 hours. We need to find an equation that represents the total number of shirts and pants that can be made in a 40-hour work week.
Determine time spent: Determine the total time spent on making shirts and pants.Let s be the number of shirts and p be the number of pants. The total time spent making shirts is 4 hours per shirt times the number of shirts, which is 4s. The total time spent making pants is 6 hours per pant times the number of pants, which is 6p.
Set up equation: Set up the equation based on the total work hours available.The clothier has 40 hours in a work week to make shirts and pants. The sum of the time spent making shirts and pants should equal 40 hours. Therefore, the equation is 4s (time for shirts) plus 6p (time for pants) equals 40 (total work hours).
Write the equation: Write the equation.The equation that represents the relationship between the number of shirts and pants made in a 40-hour work week is 4s+6p=40.
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