A store sells white scarves and red scarves. A white scarf is $3 and a red scarf is $5. One day the store sold 12 scarves for $50. What is the total number of scarves sold on that day?

7 red scarves and 5 white scarves were sold

Step-by-step explanation:

set up 2 equations where x represents white scarves and y represents red scarves

equation 1: 3x + 5y = 50

equation 2: x + y = 12

change equation 2 to x = 12 - y

substitute x into equation 1: 3 (12 - y) + 5y = 50

distribute: 36 - 3y + 5y = 50

2y = 14

y = 7

substitute y back into one of the original equations

x + (7) = 12

subtract 7 from both sides to find x

x = 5