Michael delivered 150 mirrors to Rael. Rael would have to pay Michael $25 for every mirror safely delivered. Michael would have to pay Rael $29 for every damaged mirror. If Rael paid a total of $1320, 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
|
| 150 |
150 x 25 =
$3750 |
0 |
0 |
3750 - 0 =
$3750 |
| 149 |
149 x 25 =
$3725 |
1 |
1 x 29 =
$29 |
3725 - 29 =
$3696 |
105
|
105 x 25 =
$2625 |
45 |
45 x 29 =
$1305 |
2625 - 1305 =
$1320 |
Total amount paid to Michael if all the mirrors were safely delivered
= 150 x 25
= $3750
Big difference between the the total amounts paid to Michael
= 3750 - 1320
= $2430
Small difference between the amount for one mirror safely delivered and one damaged mirror
= 29 + 25
= $54
Number of damaged mirrors
= 2430 ÷ 54
= 45
Answer(s): 45
