Oscar delivered 100 picture frames to David. David would have to pay Oscar $16 for every picture frame safely delivered. Oscar would have to pay David $29 for every damaged picture frame. If David paid a total of $1420, 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
|
| 100 |
100 x 16 =
$1600 |
0 |
0 |
1600 - 0 =
$1600 |
| 99 |
99 x 16 =
$1584 |
1 |
1 x 29 =
$29 |
1584 - 29 =
$1555 |
96
|
96 x 16 =
$1536 |
4 |
4 x 29 =
$116 |
1536 - 116 =
$1420 |
Total amount paid to Oscar if all the picture frames were safely delivered
= 100 x 16
= $1600
Big difference between the the total amounts paid to Oscar
= 1600 - 1420
= $180
Small difference between the amount for one picture frame safely delivered and one damaged picture frame
= 29 + 16
= $45
Number of damaged picture frames
= 180 ÷ 45
= 4
Answer(s): 4
