let x = # at $23, and y = # at $45.
y = 210 - x
23x + 45y = 6150
Substitute 210-x for y in the second equation and solve for x. Insert that value into the first equation to solve for y. Check by putting both values into the second equation.
y = 210 - x
23x + 45y = 6150
Substitute 210-x for y in the second equation and solve for x. Insert that value into the first equation to solve for y. Check by putting both values into the second equation.
We are given the following information:
1) Jessica sold a total of 210 magazine subscriptions, so we have the equation: x + y = 210
2) The total sales amounted to $6,150, so we have the equation: 23x + 45y = 6,150
We can solve this system of equations to find the values of x and y.
1) Start by solving the first equation for x:
x + y = 210
x = 210 - y
2) Substitute the value of x in the second equation:
23x + 45y = 6,150
23(210 - y) + 45y = 6,150
4,830 - 23y + 45y = 6,150
22y = 1,320
y = 1,320 / 22
y = 60
3) Substitute the value of y back into the first equation to solve for x:
x + 60 = 210
x = 210 - 60
x = 150
Therefore, Jessica sold 150 one-year subscriptions and 60 two-year subscriptions.