Ian delivered 200 picture frames to Justin. Justin would have to pay Ian $12 for every picture frame safely delivered. Ian would have to pay Justin $39 for every damaged picture frame. If Justin paid a total of $1737, 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
|
| 200 |
200 x 12 =
$2400 |
0 |
0 |
2400 - 0 =
$2400 |
| 199 |
199 x 12 =
$2388 |
1 |
1 x 39 =
$39 |
2388 - 39 =
$2349 |
187
|
187 x 12 =
$2244 |
13 |
13 x 39 =
$507 |
2244 - 507 =
$1737 |
Total amount paid to Ian if all the picture frames were safely delivered
= 200 x 12
= $2400
Big difference between the the total amounts paid to Ian
= 2400 - 1737
= $663
Small difference between the amount for one picture frame safely delivered and one damaged picture frame
= 39 + 12
= $51
Number of damaged picture frames
= 663 ÷ 51
= 13
Answer(s): 13
