Lucy was packing her spoons, plates and bowls to be moved to her new shop. She packed 55 more spoons than plates, and 23 more bowls than spoons. While moving
35 of her spoons and
110 of the plates were broken. The remaining 192 items were not broken. How many bowls did she have?
|
Spoons |
Plates |
Bowls |
Total |
Before |
5x2 = 10 u |
+ 55 |
10 u |
10 u |
+ 55 + 23 |
|
Change |
- 3x2 = - 6 u |
- 33 |
- 1 u |
|
|
|
After |
2x2 = 4 u |
+ 22 |
9 u |
10 u |
+ 78 |
192 |
35 x 55 = 33
LCM of 5 and 10 is 10.
Total number of items that was not broken
= 4 u + 22 + 9 u + 10 u + 78
= 23 u + 100
23 u + 100 = 192
23 u = 192 - 100
23 u = 92
1 u = 92 ÷ 23 = 4
Number of bowls that Lucy had
= 10 u + 78
= 10 x 4 + 78
= 40 + 78
= 118
Answer(s): 118