Roshel was packing her spoons, bowls and plates to be moved to her new shop. She packed 45 more spoons than bowls, and 47 more plates than spoons. While moving
35 of her spoons and
110 of the bowls were broken. The remaining 179 items were not broken. How many plates did she have?
| |
Spoons |
Bowls |
Plates |
Total |
Before |
5x2 =
10 u |
+ 45 |
10 u |
10 u |
+ 45 + 47 |
|
Change |
- 3x2 =
- 6 u |
- 27 |
- 1 u |
|
|
|
After |
2x2 =
4 u |
+ 18 |
9 u |
10 u |
+ 92 |
179 |
35 x 45 = 27
LCM of 5 and 10 is 10.
Total number of items that was not broken
= 4 u + 18 + 9 u + 10 u + 92
= 23 u + 110
23 u + 110 = 179
23 u = 179 - 110
23 u = 69
1 u = 69 ÷ 23 = 3
Number of plates that Roshel had
= 10 u + 92
= 10 x 3 + 92
= 30 + 92
= 122
Answer(s): 122
