Hazel was packing her spoons, bowls and plates to be moved to her new shop. She packed 15 more spoons than bowls, and 15 more plates than spoons. While moving
45 of her spoons and
115 of the bowls were broken. The remaining 353 items were not broken. How many plates did she have?
| |
Spoons |
Bowls |
Plates |
Total |
Before |
5x3 =
15 u |
+ 15 |
15 u |
15 u |
+ 15 + 15 |
|
Change |
- 4x3 =
- 12 u |
- 12 |
- 1 u |
|
|
|
After |
1x3 =
3 u |
+ 3 |
14 u |
15 u |
+ 30 |
353 |
45 x 15 = 12
LCM of 5 and 15 is 15.
Total number of items that was not broken
= 3 u + 3 + 14 u + 15 u + 30
= 32 u + 33
32 u + 33 = 353
32 u = 353 - 33
32 u = 320
1 u = 320 ÷ 32 = 10
Number of plates that Hazel had
= 15 u + 30
= 15 x 10 + 30
= 150 + 30
= 180
Answer(s): 180
