Peter delivered 130 vases to Tommy. Tommy would have to pay Peter $20 for every vase safely delivered. Peter would have to pay Tommy $24 for every damaged vase. If Tommy paid a total of $1148, 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
|
| 130 |
130 x 20 =
$2600 |
0 |
0 |
2600 - 0 =
$2600 |
| 129 |
129 x 20 =
$2580 |
1 |
1 x 24 =
$24 |
2580 - 24 =
$2556 |
97
|
97 x 20 =
$1940 |
33 |
33 x 24 =
$792 |
1940 - 792 =
$1148 |
Total amount paid to Peter if all the vases were safely delivered
= 130 x 20
= $2600
Big difference between the the total amounts paid to Peter
= 2600 - 1148
= $1452
Small difference between the amount for one vase safely delivered and one damaged vase
= 24 + 20
= $44
Number of damaged vases
= 1452 ÷ 44
= 33
Answer(s): 33
