Sam delivered 190 crystal bowls to Ryan. Ryan would have to pay Sam $19 for every crystal bowl safely delivered. Sam would have to pay Ryan $29 for every damaged crystal bowl. If Ryan paid a total of $1786, how many crystal bowls were damaged?
Number of
crystal bowls
safely delivered |
Payment for
the crystal bowls
safely delivered |
Number of
damaged
crystal bowls |
Penalty for
damaged
crystal bowls |
Total amount
received
|
| 190 |
190 x 19 =
$3610 |
0 |
0 |
3610 - 0 =
$3610 |
| 189 |
189 x 19 =
$3591 |
1 |
1 x 29 =
$29 |
3591 - 29 =
$3562 |
152
|
152 x 19 =
$2888 |
38 |
38 x 29 =
$1102 |
2888 - 1102 =
$1786 |
Total amount paid to Sam if all the crystal bowls were safely delivered
= 190 x 19
= $3610
Big difference between the the total amounts paid to Sam
= 3610 - 1786
= $1824
Small difference between the amount for one crystal bowl safely delivered and one damaged crystal bowl
= 29 + 19
= $48
Number of damaged crystal bowls
= 1824 ÷ 48
= 38
Answer(s): 38
