Yoko was packing her spoons, plates and bowls to be moved to her new shop. She packed 96 more spoons than plates, and 32 more bowls than spoons. While moving
34 of her spoons and
112 of the plates were broken. The remaining 230 items were not broken. How many bowls did she have?
|
Spoons |
Plates |
Bowls |
Total |
Before |
4x3 = 12 u |
+ 96 |
12 u |
12 u |
+ 96 + 32 |
|
Change |
- 3x3 = - 9 u |
- 72 |
- 1 u |
|
|
|
After |
1x3 = 3 u |
+ 24 |
11 u |
12 u |
+ 128 |
230 |
34 x 96 = 72
LCM of 4 and 12 is 12.
Total number of items that was not broken
= 3 u + 24 + 11 u + 12 u + 128
= 26 u + 152
26 u + 152 = 230
26 u = 230 - 152
26 u = 78
1 u = 78 ÷ 26 = 3
Number of bowls that Yoko had
= 12 u + 128
= 12 x 3 + 128
= 36 + 128
= 164
Answer(s): 164