Shiyun was packing her spoons, plates and bowls to be moved to her new shop. She packed 96 more spoons than plates, and 25 more bowls than spoons. While moving
23 of her spoons and
16 of the plates were broken. The remaining 309 items were not broken. How many bowls did she have?
|
Spoons |
Plates |
Bowls |
Total |
Before |
3x2 = 6 u |
+ 96 |
6 u |
6 u |
+ 96 + 25 |
|
Change |
- 2x2 = - 4 u |
- 64 |
- 1 u |
|
|
|
After |
1x2 = 2 u |
+ 32 |
5 u |
6 u |
+ 121 |
309 |
23 x 96 = 64
LCM of 3 and 6 is 6.
Total number of items that was not broken
= 2 u + 32 + 5 u + 6 u + 121
= 13 u + 153
13 u + 153 = 309
13 u = 309 - 153
13 u = 156
1 u = 156 ÷ 13 = 12
Number of bowls that Shiyun had
= 6 u + 121
= 6 x 12 + 121
= 72 + 121
= 193
Answer(s): 193