Question

David express company was asked to deliver 325 boxes of apples. according the rule, the delivery fee is

$25 for each box. if one box lost, the company could not get the delivery fee for the lost box, but should
compensate $75 for the loss. after the delivery, david express company got total $5925, how many boxes
lost?

Answer 1

22 boxes were lost. Look for the happy squirrels.

Explanation:

Let x be the number of lost boxes. David Express should expect to receive $25 for each of the 325 boxes of apples. That means:

($25)*(325) = $8125

The loss of a box means that the delivery fee would be forfeited, which would amount to: x*($25)

But a compensation fee of $75/box also applies, so the total loss to the income would be x*($25+$75) or x*($100). This would be subtracted from the total expected income of $8125:

Resulting Income: $8125 - ($100)x = $5925

$8125 - ($100)x = $5925

$8125 - ($100)x = $5925

-100x = -2200

x = 22 boxes were lost. Zounds! [A metric term for %$%^&]

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Check: Does the loss of 22 of the 325 boxes result in a total payment of $5925?

Delivered boxes: (325 - 22) = 303 boxes delivered. 303*$25 = $7575

Penalty of $75 per lost box: 22*($75) = $1650

Result: $7575 - $1650 = $5925 YES