Fanny was packing her bowls, spoons and plates to be moved to her new shop. She packed 28 more bowls than spoons, and 14 more plates than bowls. While moving
34 of her bowls and
18 of the spoons were broken. The remaining 236 items were not broken. How many plates did she have?
| |
Bowls |
Spoons |
Plates |
Total |
Before |
4x2 =
8 u |
+ 28 |
8 u |
8 u |
+ 28 + 14 |
|
Change |
- 3x2 =
- 6 u |
- 21 |
- 1 u |
|
|
|
After |
1x2 =
2 u |
+ 7 |
7 u |
8 u |
+ 42 |
236 |
34 x 28 = 21
LCM of 4 and 8 is 8.
Total number of items that was not broken
= 2 u + 7 + 7 u + 8 u + 42
= 17 u + 49
17 u + 49 = 236
17 u = 236 - 49
17 u = 187
1 u = 187 ÷ 17 = 11
Number of plates that Fanny had
= 8 u + 42
= 8 x 11 + 42
= 88 + 42
= 130
Answer(s): 130
