Oliver delivered 190 vases to Tim. Tim would have to pay Oliver $13 for every vase safely delivered. Oliver would have to pay Tim $35 for every damaged vase. If Tim paid a total of $1174, how many vases were damaged?
Number of
vases
safely delivered |
Payment for
the vases
safely delivered |
Number of
damaged
vases |
Penalty for
damaged
vases |
Total amount
received
|
| 190 |
190 x 13 =
$2470 |
0 |
0 |
2470 - 0 =
$2470 |
| 189 |
189 x 13 =
$2457 |
1 |
1 x 35 =
$35 |
2457 - 35 =
$2422 |
163
|
163 x 13 =
$2119 |
27 |
27 x 35 =
$945 |
2119 - 945 =
$1174 |
Total amount paid to Oliver if all the vases were safely delivered
= 190 x 13
= $2470
Big difference between the the total amounts paid to Oliver
= 2470 - 1174
= $1296
Small difference between the amount for one vase safely delivered and one damaged vase
= 35 + 13
= $48
Number of damaged vases
= 1296 ÷ 48
= 27
Answer(s): 27
