Betty was packing her bowls, spoons and plates to be moved to her new shop. She packed 90 more bowls than spoons, and 50 more plates than bowls. While moving
35 of her bowls and
110 of the spoons were broken. The remaining 245 items were not broken. How many plates did she have?
| |
Bowls |
Spoons |
Plates |
Total |
Before |
5x2 =
10 u |
+ 90 |
10 u |
10 u |
+ 90 + 50 |
|
Change |
- 3x2 =
- 6 u |
- 54 |
- 1 u |
|
|
|
After |
2x2 =
4 u |
+ 36 |
9 u |
10 u |
+ 140 |
245 |
35 x 90 = 54
LCM of 5 and 10 is 10.
Total number of items that was not broken
= 4 u + 36 + 9 u + 10 u + 140
= 23 u + 176
23 u + 176 = 245
23 u = 245 - 176
23 u = 69
1 u = 69 ÷ 23 = 3
Number of plates that Betty had
= 10 u + 140
= 10 x 3 + 140
= 30 + 140
= 170
Answer(s): 170
