Below is a question from a recent SAT exam. It is a non-calculator question that would typically take a student 2-3 minutes to complete.
T = 5c + 12 f
A manufacturer shipped units of a certain product to two locations. The equation above shows the total shipping cost T, in dollars, for shipping c units to the closer location and shipping f units to the farther location. If the total shipping cost was $47,000 and 3000 units were shipped to the farther location, how many units were shipped to the closer location?
To answer this question, we must substitute the relevant values into the equation given to us. We are told the total cost, T, is 47,000. So lets replace it in the equation.
47,000=5c+12f
Next we are then told 3,000 unit were shipped to the further location, so we will replace f with 3,000.
47,000=5c+12(3,000)
From here we multiply and solve the equation.
47,000=5c+36,000
5c=47,000-36,000
5c=11,000
c=2,200
So the answer is 2,200.
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