Asher delivered 130 plates to Michael. Michael would have to pay Asher $16 for every plate safely delivered. Asher would have to pay Michael $24 for every damaged plate. If Michael paid a total of $1280, 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
|
| 130 |
130 x 16 =
$2080 |
0 |
0 |
2080 - 0 =
$2080 |
| 129 |
129 x 16 =
$2064 |
1 |
1 x 24 =
$24 |
2064 - 24 =
$2040 |
110
|
110 x 16 =
$1760 |
20 |
20 x 24 =
$480 |
1760 - 480 =
$1280 |
Total amount paid to Asher if all the plates were safely delivered
= 130 x 16
= $2080
Big difference between the the total amounts paid to Asher
= 2080 - 1280
= $800
Small difference between the amount for one plate safely delivered and one damaged plate
= 24 + 16
= $40
Number of damaged plates
= 800 ÷ 40
= 20
Answer(s): 20
