Ethan delivered 120 vases to Warren. Warren would have to pay Ethan $20 for every vase safely delivered. Ethan would have to pay Warren $24 for every damaged vase. If Warren paid a total of $1300, 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
|
| 120 |
120 x 20 =
$2400 |
0 |
0 |
2400 - 0 =
$2400 |
| 119 |
119 x 20 =
$2380 |
1 |
1 x 24 =
$24 |
2380 - 24 =
$2356 |
95
|
95 x 20 =
$1900 |
25 |
25 x 24 =
$600 |
1900 - 600 =
$1300 |
Total amount paid to Ethan if all the vases were safely delivered
= 120 x 20
= $2400
Big difference between the the total amounts paid to Ethan
= 2400 - 1300
= $1100
Small difference between the amount for one vase safely delivered and one damaged vase
= 24 + 20
= $44
Number of damaged vases
= 1100 ÷ 44
= 25
Answer(s): 25
