Simon delivered 190 plates to George. George would have to pay Simon $12 for every plate safely delivered. Simon would have to pay George $20 for every damaged plate. If George paid a total of $1032, 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
|
| 190 |
190 x 12 =
$2280 |
0 |
0 |
2280 - 0 =
$2280 |
| 189 |
189 x 12 =
$2268 |
1 |
1 x 20 =
$20 |
2268 - 20 =
$2248 |
151
|
151 x 12 =
$1812 |
39 |
39 x 20 =
$780 |
1812 - 780 =
$1032 |
Total amount paid to Simon if all the plates were safely delivered
= 190 x 12
= $2280
Big difference between the the total amounts paid to Simon
= 2280 - 1032
= $1248
Small difference between the amount for one plate safely delivered and one damaged plate
= 20 + 12
= $32
Number of damaged plates
= 1248 ÷ 32
= 39
Answer(s): 39
