Hilda was packing her spoons, bowls and plates to be moved to her new shop. She packed 40 more spoons than bowls, and 58 more plates than spoons. While moving
35 of her spoons and
115 of the bowls were broken. The remaining 394 items were not broken. How many plates did she have?
|
Spoons |
Bowls |
Plates |
Total |
Before |
5x3 = 15 u |
+ 40 |
15 u |
15 u |
+ 40 + 58 |
|
Change |
- 3x3 = - 9 u |
- 24 |
- 1 u |
|
|
|
After |
2x3 = 6 u |
+ 16 |
14 u |
15 u |
+ 98 |
394 |
35 x 40 = 24
LCM of 5 and 15 is 15.
Total number of items that was not broken
= 6 u + 16 + 14 u + 15 u + 98
= 35 u + 114
35 u + 114 = 394
35 u = 394 - 114
35 u = 280
1 u = 280 ÷ 35 = 8
Number of plates that Hilda had
= 15 u + 98
= 15 x 8 + 98
= 120 + 98
= 218
Answer(s): 218