Albert delivered 170 plates to Valen. Valen would have to pay Albert $15 for every plate safely delivered. Albert would have to pay Valen $37 for every damaged plate. If Valen paid a total of $1822, 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
|
| 170 |
170 x 15 =
$2550 |
0 |
0 |
2550 - 0 =
$2550 |
| 169 |
169 x 15 =
$2535 |
1 |
1 x 37 =
$37 |
2535 - 37 =
$2498 |
156
|
156 x 15 =
$2340 |
14 |
14 x 37 =
$518 |
2340 - 518 =
$1822 |
Total amount paid to Albert if all the plates were safely delivered
= 170 x 15
= $2550
Big difference between the the total amounts paid to Albert
= 2550 - 1822
= $728
Small difference between the amount for one plate safely delivered and one damaged plate
= 37 + 15
= $52
Number of damaged plates
= 728 ÷ 52
= 14
Answer(s): 14
