Ben delivered 190 vases to Ken. Ken would have to pay Ben $13 for every vase safely delivered. Ben would have to pay Ken $29 for every damaged vase. If Ken paid a total of $1924, 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 29 =
$29 |
2457 - 29 =
$2428 |
177
|
177 x 13 =
$2301 |
13 |
13 x 29 =
$377 |
2301 - 377 =
$1924 |
Total amount paid to Ben if all the vases were safely delivered
= 190 x 13
= $2470
Big difference between the the total amounts paid to Ben
= 2470 - 1924
= $546
Small difference between the amount for one vase safely delivered and one damaged vase
= 29 + 13
= $42
Number of damaged vases
= 546 ÷ 42
= 13
Answer(s): 13
