Julian delivered 170 mirrors to Liam. Liam would have to pay Julian $18 for every mirror safely delivered. Julian would have to pay Liam $27 for every damaged mirror. If Liam paid a total of $1035, 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
|
| 170 |
170 x 18 =
$3060 |
0 |
0 |
3060 - 0 =
$3060 |
| 169 |
169 x 18 =
$3042 |
1 |
1 x 27 =
$27 |
3042 - 27 =
$3015 |
125
|
125 x 18 =
$2250 |
45 |
45 x 27 =
$1215 |
2250 - 1215 =
$1035 |
Total amount paid to Julian if all the mirrors were safely delivered
= 170 x 18
= $3060
Big difference between the the total amounts paid to Julian
= 3060 - 1035
= $2025
Small difference between the amount for one mirror safely delivered and one damaged mirror
= 27 + 18
= $45
Number of damaged mirrors
= 2025 ÷ 45
= 45
Answer(s): 45
