Roshel was packing her bowls, spoons and plates to be moved to her new shop. She packed 30 more bowls than spoons, and 31 more plates than bowls. While moving
25 of her bowls and
110 of the spoons were broken. The remaining 354 items were not broken. How many plates did she have?
| |
Bowls |
Spoons |
Plates |
Total |
Before |
5x2 =
10 u |
+ 30 |
10 u |
10 u |
+ 30 + 31 |
|
Change |
- 2x2 =
- 4 u |
- 12 |
- 1 u |
|
|
|
After |
3x2 =
6 u |
+ 18 |
9 u |
10 u |
+ 61 |
354 |
25 x 30 = 12
LCM of 5 and 10 is 10.
Total number of items that was not broken
= 6 u + 18 + 9 u + 10 u + 61
= 25 u + 79
25 u + 79 = 354
25 u = 354 - 79
25 u = 275
1 u = 275 ÷ 25 = 11
Number of plates that Roshel had
= 10 u + 61
= 10 x 11 + 61
= 110 + 61
= 171
Answer(s): 171
