Oscar delivered 100 mirrors to Cole. Cole would have to pay Oscar $13 for every mirror safely delivered. Oscar would have to pay Cole $31 for every damaged mirror. If Cole paid a total of $1036, how many mirrors were damaged?
Number of
mirrors
safely delivered |
Payment for
the mirrors
safely delivered |
Number of
damaged
mirrors |
Penalty for
damaged
mirrors |
Total amount
received
|
| 100 |
100 x 13 =
$1300 |
0 |
0 |
1300 - 0 =
$1300 |
| 99 |
99 x 13 =
$1287 |
1 |
1 x 31 =
$31 |
1287 - 31 =
$1256 |
94
|
94 x 13 =
$1222 |
6 |
6 x 31 =
$186 |
1222 - 186 =
$1036 |
Total amount paid to Oscar if all the mirrors were safely delivered
= 100 x 13
= $1300
Big difference between the the total amounts paid to Oscar
= 1300 - 1036
= $264
Small difference between the amount for one mirror safely delivered and one damaged mirror
= 31 + 13
= $44
Number of damaged mirrors
= 264 ÷ 44
= 6
Answer(s): 6
