Lucy was packing her plates, bowls and spoons to be moved to her new shop. She packed 55 more plates than bowls, and 27 more spoons than plates. While moving
35 of her plates and
110 of the bowls were broken. The remaining 219 items were not broken. How many spoons did she have?
| |
Plates |
Bowls |
Spoons |
Total |
Before |
5x2 =
10 u |
+ 55 |
10 u |
10 u |
+ 55 + 27 |
|
Change |
- 3x2 =
- 6 u |
- 33 |
- 1 u |
|
|
|
After |
2x2 =
4 u |
+ 22 |
9 u |
10 u |
+ 82 |
219 |
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 + 82
= 23 u + 104
23 u + 104 = 219
23 u = 219 - 104
23 u = 115
1 u = 115 ÷ 23 = 5
Number of spoons that Lucy had
= 10 u + 82
= 10 x 5 + 82
= 50 + 82
= 132
Answer(s): 132
