Zane delivered 140 picture frames to Zeph. Zeph would have to pay Zane $23 for every picture frame safely delivered. Zane would have to pay Zeph $38 for every damaged picture frame. If Zeph paid a total of $1146, how many picture frames were damaged?
Number of
picture frames
safely delivered |
Payment for
the picture frames
safely delivered |
Number of
damaged
picture frames |
Penalty for
damaged
picture frames |
Total amount
received
|
| 140 |
140 x 23 =
$3220 |
0 |
0 |
3220 - 0 =
$3220 |
| 139 |
139 x 23 =
$3197 |
1 |
1 x 38 =
$38 |
3197 - 38 =
$3159 |
106
|
106 x 23 =
$2438 |
34 |
34 x 38 =
$1292 |
2438 - 1292 =
$1146 |
Total amount paid to Zane if all the picture frames were safely delivered
= 140 x 23
= $3220
Big difference between the the total amounts paid to Zane
= 3220 - 1146
= $2074
Small difference between the amount for one picture frame safely delivered and one damaged picture frame
= 38 + 23
= $61
Number of damaged picture frames
= 2074 ÷ 61
= 34
Answer(s): 34
