Question

A manufacturer shipped units of a certain product to two locations. The equation above shows the total shipping cost TTT, in dollars, for shipping ccc units to the closer location and shipping fff units to the farther location. If the total shipping cost was \$47{,}000$47,000dollar sign, 47, comma, 000 and 3000 units were shipped to the farther location, how many units were shipped to the closer location?

Answer 1

Answer:

The correct answer is 2,200.

Explanation:

I got a good grade.

Answer 2

Answer: 2,200 units.

Explanation:

The complete exercise is:

$T = 5c + 12 f$

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 3,000 units were shipped to the farther location, how many units were shipped to the closer location?

Given the following equation:

$T = 5c + 12 f$

You know that "T" is the total shipping cost (in dollars), "c" is the number of units shipped to the closer location and "f" is the number of units shipped to the farther location.

Based on the information given in the exercise, you can identify that, in this case:

$T=47,000\\\\f=3,000$

Then, knowing those values, you need to substitute them into the given equation:

$47,000 = 5c + 12(3,000)$

And finally, you must solve for "c" in order to calculate the number of units that  were shipped to the closer location.

You get that this is:

$47,000 = 5c + 12(3,000)\\\\47,000-36,000 = 5c\\\\11,000=5c\\\\\frac{11,000}{5}\\\\c=2,200$