Zane delivered 160 mirrors to Albert. Albert would have to pay Zane $19 for every mirror safely delivered. Zane would have to pay Albert $25 for every damaged mirror. If Albert paid a total of $1192, 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
|
| 160 |
160 x 19 =
$3040 |
0 |
0 |
3040 - 0 =
$3040 |
| 159 |
159 x 19 =
$3021 |
1 |
1 x 25 =
$25 |
3021 - 25 =
$2996 |
118
|
118 x 19 =
$2242 |
42 |
42 x 25 =
$1050 |
2242 - 1050 =
$1192 |
Total amount paid to Zane if all the mirrors were safely delivered
= 160 x 19
= $3040
Big difference between the the total amounts paid to Zane
= 3040 - 1192
= $1848
Small difference between the amount for one mirror safely delivered and one damaged mirror
= 25 + 19
= $44
Number of damaged mirrors
= 1848 ÷ 44
= 42
Answer(s): 42
