Fanny was packing her spoons, bowls and plates to be moved to her new shop. She packed 40 more spoons than bowls, and 52 more plates than spoons. While moving
45 of her spoons and
115 of the bowls were broken. The remaining 164 items were not broken. How many plates did she have?
| |
Spoons |
Bowls |
Plates |
Total |
Before |
5x3 =
15 u |
+ 40 |
15 u |
15 u |
+ 40 + 52 |
|
Change |
- 4x3 =
- 12 u |
- 32 |
- 1 u |
|
|
|
After |
1x3 =
3 u |
+ 8 |
14 u |
15 u |
+ 92 |
164 |
45 x 40 = 32
LCM of 5 and 15 is 15.
Total number of items that was not broken
= 3 u + 8 + 14 u + 15 u + 92
= 32 u + 100
32 u + 100 = 164
32 u = 164 - 100
32 u = 64
1 u = 64 ÷ 32 = 2
Number of plates that Fanny had
= 15 u + 92
= 15 x 2 + 92
= 30 + 92
= 122
Answer(s): 122
