it cost 5 cent for an ounce of boxed produce and 7 cents for an ounce of unboxed produce. buy 800 ounces for $48. How many BOXED of produce was purchased? equations need to be used with variables.
.05x + .07y = 48
x + y = 800
800 it that ez
To solve the problem, we need to define variables and set up equations based on the given information. Let's say "x" represents the number of ounces of boxed produce purchased.
According to the problem, boxed produce costs 5 cents per ounce. Therefore, the cost of "x" ounces of boxed produce can be represented as 5x cents.
Similarly, unboxed produce costs 7 cents per ounce. The cost of the remaining 800 - x ounces of unboxed produce can be represented as 7(800 - x).
Now, we can set up an equation based on the total cost of the purchase. The total cost is given as $48, which is equal to 4800 cents.
So, we have the equation: 5x + 7(800 - x) = 4800.
To solve for "x," we can simplify the equation:
5x + 5600 - 7x = 4800.
-2x + 5600 = 4800.
-2x = 4800 - 5600.
-2x = -800.
x = (-800) / (-2).
x = 400.
Therefore, 400 ounces of boxed produce were purchased.