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Donate [
de
A 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) 
(s)/(4)+(p)/(6)=40
(D) 
(s)/(6)+(p)/(4)=40
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Donate [\newlinede\newlineA clothier who only makes shirts and pants can make a shirt in 44 hours and a pair of pants in 66 hours. Which of the following equations shows the number of shirts, s s , and the number of pants, p p , that the clothier can make in a 4040 hour work week?\newlineChoose 11 answer:\newline(A) 6s+4p=40 6 s+4 p=40 \newline(B) 4s+6p=40 4 s+6 p=40 \newline(C) s4+p6=40 \frac{s}{4}+\frac{p}{6}=40 \newline(D) s6+p4=40 \frac{s}{6}+\frac{p}{4}=40 \newlineShow calculator\newline66 of 1010

Full solution

Q. Donate [\newlinede\newlineA clothier who only makes shirts and pants can make a shirt in 44 hours and a pair of pants in 66 hours. Which of the following equations shows the number of shirts, s s , and the number of pants, p p , that the clothier can make in a 4040 hour work week?\newlineChoose 11 answer:\newline(A) 6s+4p=40 6 s+4 p=40 \newline(B) 4s+6p=40 4 s+6 p=40 \newline(C) s4+p6=40 \frac{s}{4}+\frac{p}{6}=40 \newline(D) s6+p4=40 \frac{s}{6}+\frac{p}{4}=40 \newlineShow calculator\newline66 of 1010
  1. Understand the problem: Understand the problem.\newlineThe clothier can make a shirt in 44 hours and a pair of pants in 66 hours. We need to find an equation that represents the total number of shirts and pants that can be made in a 4040-hour work week.
  2. Determine time spent: Determine the total time spent on making shirts and pants.\newlineLet ss be the number of shirts and pp be the number of pants. The total time spent making shirts is 44 hours per shirt times the number of shirts, which is 4s4s. The total time spent making pants is 66 hours per pant times the number of pants, which is 6p6p.
  3. Set up equation: Set up the equation based on the total work hours available.\newlineThe clothier has 4040 hours in a work week to make shirts and pants. The sum of the time spent making shirts and pants should equal 4040 hours. Therefore, the equation is 4s4s (time for shirts) plus 6p6p (time for pants) equals 4040 (total work hours).
  4. Write the equation: Write the equation.\newlineThe equation that represents the relationship between the number of shirts and pants made in a 4040-hour work week is 4s+6p=404s + 6p = 40.