Xylia was packing her spoons, plates and bowls to be moved to her new shop. She packed 72 more spoons than plates, and 41 more bowls than spoons. While moving
34 of her spoons and
18 of the plates were broken. The remaining 216 items were not broken. How many bowls did she have?
|
Spoons |
Plates |
Bowls |
Total |
Before |
4x2 = 8 u |
+ 72 |
8 u |
8 u |
+ 72 + 41 |
|
Change |
- 3x2 = - 6 u |
- 54 |
- 1 u |
|
|
|
After |
1x2 = 2 u |
+ 18 |
7 u |
8 u |
+ 113 |
216 |
34 x 72 = 54
LCM of 4 and 8 is 8.
Total number of items that was not broken
= 2 u + 18 + 7 u + 8 u + 113
= 17 u + 131
17 u + 131 = 216
17 u = 216 - 131
17 u = 85
1 u = 85 ÷ 17 = 5
Number of bowls that Xylia had
= 8 u + 113
= 8 x 5 + 113
= 40 + 113
= 153
Answer(s): 153