Raeann was packing her bowls, spoons and plates to be moved to her new shop. She packed 88 more bowls than spoons, and 35 more plates than bowls. While moving
34 of her bowls and
18 of the spoons were broken. The remaining 349 items were not broken. How many plates did she have?
| |
Bowls |
Spoons |
Plates |
Total |
Before |
4x2 =
8 u |
+ 88 |
8 u |
8 u |
+ 88 + 35 |
|
Change |
- 3x2 =
- 6 u |
- 66 |
- 1 u |
|
|
|
After |
1x2 =
2 u |
+ 22 |
7 u |
8 u |
+ 123 |
349 |
34 x 88 = 66
LCM of 4 and 8 is 8.
Total number of items that was not broken
= 2 u + 22 + 7 u + 8 u + 123
= 17 u + 145
17 u + 145 = 349
17 u = 349 - 145
17 u = 204
1 u = 204 ÷ 17 = 12
Number of plates that Raeann had
= 8 u + 123
= 8 x 12 + 123
= 96 + 123
= 219
Answer(s): 219
