Winnie was packing her bowls, spoons and plates to be moved to her new shop. She packed 63 more bowls than spoons, and 51 more plates than bowls. While moving
23 of her bowls and
16 of the spoons were broken. The remaining 200 items were not broken. How many plates did she have?
| |
Bowls |
Spoons |
Plates |
Total |
Before |
3x2 =
6 u |
+ 63 |
6 u |
6 u |
+ 63 + 51 |
|
Change |
- 2x2 =
- 4 u |
- 42 |
- 1 u |
|
|
|
After |
1x2 =
2 u |
+ 21 |
5 u |
6 u |
+ 114 |
200 |
23 x 63 = 42
LCM of 3 and 6 is 6.
Total number of items that was not broken
= 2 u + 21 + 5 u + 6 u + 114
= 13 u + 135
13 u + 135 = 200
13 u = 200 - 135
13 u = 65
1 u = 65 ÷ 13 = 5
Number of plates that Winnie had
= 6 u + 114
= 6 x 5 + 114
= 30 + 114
= 144
Answer(s): 144
