Elyse was packing her bowls, spoons and plates to be moved to her new shop. She packed 48 more bowls than spoons, and 14 more plates than bowls. While moving
23 of her bowls and
19 of the spoons were broken. The remaining 198 items were not broken. How many plates did she have?
| |
Bowls |
Spoons |
Plates |
Total |
Before |
3x3 =
9 u |
+ 48 |
9 u |
9 u |
+ 48 + 14 |
|
Change |
- 2x3 =
- 6 u |
- 32 |
- 1 u |
|
|
|
After |
1x3 =
3 u |
+ 16 |
8 u |
9 u |
+ 62 |
198 |
23 x 48 = 32
LCM of 3 and 9 is 9.
Total number of items that was not broken
= 3 u + 16 + 8 u + 9 u + 62
= 20 u + 78
20 u + 78 = 198
20 u = 198 - 78
20 u = 120
1 u = 120 ÷ 20 = 6
Number of plates that Elyse had
= 9 u + 62
= 9 x 6 + 62
= 54 + 62
= 116
Answer(s): 116
