A store sold 29 sweatshirts. White ones cost $ 9.95 and yellow ones cost $ 11.50
If $ 305.05 worth of sweatshirts were sold, how many of each were sold.
Let x=the number of white sweatshirts
Let y= the number of yellow sweat shirts
Complete the system of equations.
x+y=
$ x+ $ y= 304.o5
9.95x+11.5y=305.05
x+y=29
9.95x+9.95y=29*9.95
Or (11.50-9.95)y=305.05-288.55
1.55y=16.5
y=16.5/1.55=10.6, say 11 yellow shirts
29-11=18 white shirts
11*11.5+18*9.95=305.6 OK.
To complete the system of equations, you need to equate the number of sweatshirts and the total value of the sweatshirts sold.
Given:
Number of white sweatshirts (x) = ?
Number of yellow sweatshirts (y) = ?
Cost of white sweatshirts = $9.95
Cost of yellow sweatshirts = $11.50
Total worth of sweatshirts sold = $305.05
The equation for the number of sweatshirts is:
x + y = 29
The equation for the total worth of sweatshirts sold is:
($9.95 * x) + ($11.50 * y) = $305.05
So, the system of equations is:
x + y = 29
9.95x + 11.50y = 305.05
To solve this problem, we can set up a system of equations based on the given information.
Let's define the variables as follows:
x = number of white sweatshirts sold
y = number of yellow sweatshirts sold
From the problem, we know that:
1) The total number of sweatshirts sold is 29: x + y = 29
2) The cost of each white sweatshirt is $9.95, and the cost of each yellow sweatshirt is $11.50. The total worth of sweatshirts sold is $305.05:
9.95x + 11.50y = 305.05
So, the system of equations becomes:
1) x + y = 29
2) 9.95x + 11.50y = 305.05
Now we have a system of two equations that we can solve simultaneously to find the values of x and y.