Dylan delivered 100 vases to Paul. Paul would have to pay Dylan $20 for every vase safely delivered. Dylan would have to pay Paul $38 for every damaged vase. If Paul paid a total of $1420, 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
|
| 100 |
100 x 20 =
$2000 |
0 |
0 |
2000 - 0 =
$2000 |
| 99 |
99 x 20 =
$1980 |
1 |
1 x 38 =
$38 |
1980 - 38 =
$1942 |
90
|
90 x 20 =
$1800 |
10 |
10 x 38 =
$380 |
1800 - 380 =
$1420 |
Total amount paid to Dylan if all the vases were safely delivered
= 100 x 20
= $2000
Big difference between the the total amounts paid to Dylan
= 2000 - 1420
= $580
Small difference between the amount for one vase safely delivered and one damaged vase
= 38 + 20
= $58
Number of damaged vases
= 580 ÷ 58
= 10
Answer(s): 10
