Sean delivered 190 mirrors to Riordan. Riordan would have to pay Sean $14 for every mirror safely delivered. Sean would have to pay Riordan $36 for every damaged mirror. If Riordan paid a total of $1510, 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
|
| 190 |
190 x 14 =
$2660 |
0 |
0 |
2660 - 0 =
$2660 |
| 189 |
189 x 14 =
$2646 |
1 |
1 x 36 =
$36 |
2646 - 36 =
$2610 |
167
|
167 x 14 =
$2338 |
23 |
23 x 36 =
$828 |
2338 - 828 =
$1510 |
Total amount paid to Sean if all the mirrors were safely delivered
= 190 x 14
= $2660
Big difference between the the total amounts paid to Sean
= 2660 - 1510
= $1150
Small difference between the amount for one mirror safely delivered and one damaged mirror
= 36 + 14
= $50
Number of damaged mirrors
= 1150 ÷ 50
= 23
Answer(s): 23
