Opal was packing her plates, spoons and bowls to be moved to her new shop. She packed 54 more plates than spoons, and 20 more bowls than plates. While moving
23 of her plates and
16 of the spoons were broken. The remaining 183 items were not broken. How many bowls did she have?
| |
Plates |
Spoons |
Bowls |
Total |
Before |
3x2 =
6 u |
+ 54 |
6 u |
6 u |
+ 54 + 20 |
|
Change |
- 2x2 =
- 4 u |
- 36 |
- 1 u |
|
|
|
After |
1x2 =
2 u |
+ 18 |
5 u |
6 u |
+ 74 |
183 |
23 x 54 = 36
LCM of 3 and 6 is 6.
Total number of items that was not broken
= 2 u + 18 + 5 u + 6 u + 74
= 13 u + 92
13 u + 92 = 183
13 u = 183 - 92
13 u = 91
1 u = 91 ÷ 13 = 7
Number of bowls that Opal had
= 6 u + 74
= 6 x 7 + 74
= 42 + 74
= 116
Answer(s): 116
