Fabian delivered 70 plates to Will. Will would have to pay Fabian $25 for every plate safely delivered. Fabian would have to pay Will $28 for every damaged plate. If Will paid a total of $1326, how many plates were damaged?
Number of
plates
safely delivered |
Payment for
the plates
safely delivered |
Number of
damaged
plates |
Penalty for
damaged
plates |
Total amount
received
|
| 70 |
70 x 25 =
$1750 |
0 |
0 |
1750 - 0 =
$1750 |
| 69 |
69 x 25 =
$1725 |
1 |
1 x 28 =
$28 |
1725 - 28 =
$1697 |
62
|
62 x 25 =
$1550 |
8 |
8 x 28 =
$224 |
1550 - 224 =
$1326 |
Total amount paid to Fabian if all the plates were safely delivered
= 70 x 25
= $1750
Big difference between the the total amounts paid to Fabian
= 1750 - 1326
= $424
Small difference between the amount for one plate safely delivered and one damaged plate
= 28 + 25
= $53
Number of damaged plates
= 424 ÷ 53
= 8
Answer(s): 8
