Pamela was packing her bowls, spoons and plates to be moved to her new shop. She packed 70 more bowls than spoons, and 43 more plates than bowls. While moving
25 of her bowls and
110 of the spoons were broken. The remaining 455 items were not broken. How many plates did she have?
|
Bowls |
Spoons |
Plates |
Total |
Before |
5x2 = 10 u |
+ 70 |
10 u |
10 u |
+ 70 + 43 |
|
Change |
- 2x2 = - 4 u |
- 28 |
- 1 u |
|
|
|
After |
3x2 = 6 u |
+ 42 |
9 u |
10 u |
+ 113 |
455 |
25 x 70 = 28
LCM of 5 and 10 is 10.
Total number of items that was not broken
= 6 u + 42 + 9 u + 10 u + 113
= 25 u + 155
25 u + 155 = 455
25 u = 455 - 155
25 u = 300
1 u = 300 ÷ 25 = 12
Number of plates that Pamela had
= 10 u + 113
= 10 x 12 + 113
= 120 + 113
= 233
Answer(s): 233