Roshel was packing her spoons, plates and bowls to be moved to her new shop. She packed 70 more spoons than plates, and 51 more bowls than spoons. While moving
25 of her spoons and
115 of the plates were broken. The remaining 429 items were not broken. How many bowls did she have?
| |
Spoons |
Plates |
Bowls |
Total |
Before |
5x3 =
15 u |
+ 70 |
15 u |
15 u |
+ 70 + 51 |
|
Change |
- 2x3 =
- 6 u |
- 28 |
- 1 u |
|
|
|
After |
3x3 =
9 u |
+ 42 |
14 u |
15 u |
+ 121 |
429 |
25 x 70 = 28
LCM of 5 and 15 is 15.
Total number of items that was not broken
= 9 u + 42 + 14 u + 15 u + 121
= 38 u + 163
38 u + 163 = 429
38 u = 429 - 163
38 u = 266
1 u = 266 ÷ 38 = 7
Number of bowls that Roshel had
= 15 u + 121
= 15 x 7 + 121
= 105 + 121
= 226
Answer(s): 226
