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Maths-

General

Easy

Question

$T equals 5 c plus 12 f$
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 units to the farther location. If the total shipping cost was $text $47, end text$ 000 and 3000 units were shipped to the farther location, how many units were shipped to the closer location?

hint Hint:

Hint:

We have to simply the known values and get the value of unknown variable in the given equation.

The correct answer is: 2200

Explanation:

We have given a manufacturer shipped units of a certain product to two locations. The equation $T equals 5 c plus 12 f$ for shipping c units to the closer location and shipping f units to the farther location. The total cost is $straight $ 47 comma 000$ and 3000 units shipped to farther location

We have to find how many units were shipped to the closer location

Step 1 of 2:

The units for closer distance is denoted by c, and for the farther distance it is denoted by f.
It is given $f equals 3000$
Total cost is $straight $ 47 comma 000$
Put these values in equation $T equals 5 c plus 12 f$
So
$47000 equals 5 c plus 12 f$
$47000 equals 5 c plus 12 left parenthesis 3000 right parenthesis$
$47000 equals 5 c plus 36000$
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 5 c equals 11000 end cell row cell c equals 2200 end cell end table$
Final answer:
2200 units were shipped to the closer location.

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