MATH SOLVE

3 months ago

Q:
# HELP ME! PLEASE AND THANK YOU.The variable x represents the number of long-sleeve shirts Nancy bought and the variable y represents the number of short-sleeve shirts she bought.Nancy bought 531 shirts for her business. She bought 2 times as many short-sleeve shirts as long-sleeve shirts.How many of each type of shirt did she buy?Which system of equations models this problem?{x+y=531y=2x{x−y=531y=2x{x+2y=531y=2x{x+y=2y=531x

Accepted Solution

A:

Nancy bought 177 long sleeve and 354 short sleeve shirts.{x+y=531, y=2x} represents the system of equations for this problem.Step-by-step explanation:Let, x be the long sleeve shirtsy be the short sleeve shirts Total shirts bought = 531According to given statement;x+y=531 Eqn 1y = 2x Eqn 2Putting value of y from Eqn 2 in Eqn 1;[tex]x+2x=531\\3x=531[/tex]Dividing both sides by 3;[tex]\frac{3x}{3}=\frac{531}{3}\\x=177[/tex]Putting x=177 in Eqn 2[tex]y=2(177)\\y=354[/tex]Nancy bought 177 long sleeve and 354 short sleeve shirts.{x+y=531, y=2x} represents the system of equations for this problem.Keywords: Linear equation, substitution methodLearn more about substitution method at:brainly.com/question/3126500brainly.com/question/3306327#LearnwithBrainly