Opal was packing her plates, spoons and bowls to be moved to her new shop. She packed 60 more plates than spoons, and 21 more bowls than plates. While moving
45 of her plates and
115 of the spoons were broken. The remaining 285 items were not broken. How many bowls did she have?
| |
Plates |
Spoons |
Bowls |
Total |
Before |
5x3 =
15 u |
+ 60 |
15 u |
15 u |
+ 60 + 21 |
|
Change |
- 4x3 =
- 12 u |
- 48 |
- 1 u |
|
|
|
After |
1x3 =
3 u |
+ 12 |
14 u |
15 u |
+ 81 |
285 |
45 x 60 = 48
LCM of 5 and 15 is 15.
Total number of items that was not broken
= 3 u + 12 + 14 u + 15 u + 81
= 32 u + 93
32 u + 93 = 285
32 u = 285 - 93
32 u = 192
1 u = 192 ÷ 32 = 6
Number of bowls that Opal had
= 15 u + 81
= 15 x 6 + 81
= 90 + 81
= 171
Answer(s): 171
