Yoko was packing her bowls, spoons and plates to be moved to her new shop. She packed 60 more bowls than spoons, and 18 more plates than bowls. While moving
35 of her bowls and
110 of the spoons were broken. The remaining 309 items were not broken. How many plates did she have?
| |
Bowls |
Spoons |
Plates |
Total |
Before |
5x2 =
10 u |
+ 60 |
10 u |
10 u |
+ 60 + 18 |
|
Change |
- 3x2 =
- 6 u |
- 36 |
- 1 u |
|
|
|
After |
2x2 =
4 u |
+ 24 |
9 u |
10 u |
+ 78 |
309 |
35 x 60 = 36
LCM of 5 and 10 is 10.
Total number of items that was not broken
= 4 u + 24 + 9 u + 10 u + 78
= 23 u + 102
23 u + 102 = 309
23 u = 309 - 102
23 u = 207
1 u = 207 ÷ 23 = 9
Number of plates that Yoko had
= 10 u + 78
= 10 x 9 + 78
= 90 + 78
= 168
Answer(s): 168
