Sam delivered 110 plates to Harry. Harry would have to pay Sam $12 for every plate safely delivered. Sam would have to pay Harry $31 for every damaged plate. If Harry paid a total of $1148, 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
|
| 110 |
110 x 12 =
$1320 |
0 |
0 |
1320 - 0 =
$1320 |
| 109 |
109 x 12 =
$1308 |
1 |
1 x 31 =
$31 |
1308 - 31 =
$1277 |
106
|
106 x 12 =
$1272 |
4 |
4 x 31 =
$124 |
1272 - 124 =
$1148 |
Total amount paid to Sam if all the plates were safely delivered
= 110 x 12
= $1320
Big difference between the the total amounts paid to Sam
= 1320 - 1148
= $172
Small difference between the amount for one plate safely delivered and one damaged plate
= 31 + 12
= $43
Number of damaged plates
= 172 ÷ 43
= 4
Answer(s): 4
