Japheth delivered 190 mirrors to Ivan. Ivan would have to pay Japheth $15 for every mirror safely delivered. Japheth would have to pay Ivan $27 for every damaged mirror. If Ivan paid a total of $1338, 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 15 =
$2850 |
0 |
0 |
2850 - 0 =
$2850 |
| 189 |
189 x 15 =
$2835 |
1 |
1 x 27 =
$27 |
2835 - 27 =
$2808 |
154
|
154 x 15 =
$2310 |
36 |
36 x 27 =
$972 |
2310 - 972 =
$1338 |
Total amount paid to Japheth if all the mirrors were safely delivered
= 190 x 15
= $2850
Big difference between the the total amounts paid to Japheth
= 2850 - 1338
= $1512
Small difference between the amount for one mirror safely delivered and one damaged mirror
= 27 + 15
= $42
Number of damaged mirrors
= 1512 ÷ 42
= 36
Answer(s): 36
