Susan set up a lemonade stand to raise money for a children's hospital. She's selling cups of lemonade for 2.50$ each and brownies for 1.50$ each. She sells 280 items and raises 540$. This system of equations can be used to represent the situation:x+y=2802.5x+1.5y=540Which statement is correct?(A) In the system of equations, x represents the amount of money Susan raises from selling brownies, and $0 represents the amount of money she raises from selling lemonade.(B) In the system of equations, x represents the number of brownies Susan sells, and $0 represents the number of cups of lemonade she sells.(C) In the system of equations, x represents the number of cups of lemonade Susan sells, and $0 represents the number of brownies she sells.(D) In the system of equations, x represents the amount of money Susan raises from selling lemonade, and $0 represents the amount of money she raises from selling brownies.How much money does Susan raise from selling lemonade?$____
Q. Susan set up a lemonade stand to raise money for a children's hospital. She's selling cups of lemonade for 2.50$ each and brownies for 1.50$ each. She sells 280 items and raises 540$. This system of equations can be used to represent the situation:x+y=2802.5x+1.5y=540Which statement is correct?(A) In the system of equations, x represents the amount of money Susan raises from selling brownies, and $0 represents the amount of money she raises from selling lemonade.(B) In the system of equations, x represents the number of brownies Susan sells, and $0 represents the number of cups of lemonade she sells.(C) In the system of equations, x represents the number of cups of lemonade Susan sells, and $0 represents the number of brownies she sells.(D) In the system of equations, x represents the amount of money Susan raises from selling lemonade, and $0 represents the amount of money she raises from selling brownies.How much money does Susan raise from selling lemonade?$____
Identify Variables: First, let's identify what x and y represent in the system of equations. The correct choice is (C) where x represents the number of cups of lemonade Susan sells, and y represents the number of brownies she sells.
Solve First Equation: Now, let's solve the system of equations to find the values of x and y. Start with the first equation:x+y=280.
Substitute x into Second Equation: Substitute x from the first equation into the second equation:2.5x+1.5y=540.Replace x with (280−y):2.5(280−y)+1.5y=540.
Solve for y: Simplify and solve for y:700−2.5y+1.5y=540,700−y=540,y=700−540,y=160.
Substitute y into First Equation: Substitute y back into the first equation to find x:x+160=280,x=280−160,x=120.
Calculate Lemonade Revenue: Now, calculate the amount of money raised from selling lemonade. Since x represents the number of cups of lemonade sold, and each cup costs $2.50:Money from lemonade=2.50×120=300inlinelatex2.
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