Erika was packing her plates, spoons and bowls to be moved to her new shop. She packed 70 more plates than spoons, and 40 more bowls than plates. While moving
35 of her plates and
115 of the spoons were broken. The remaining 418 items were not broken. How many bowls did she have?
|
Plates |
Spoons |
Bowls |
Total |
Before |
5x3 = 15 u |
+ 70 |
15 u |
15 u |
+ 70 + 40 |
|
Change |
- 3x3 = - 9 u |
- 42 |
- 1 u |
|
|
|
After |
2x3 = 6 u |
+ 28 |
14 u |
15 u |
+ 110 |
418 |
35 x 70 = 42
LCM of 5 and 15 is 15.
Total number of items that was not broken
= 6 u + 28 + 14 u + 15 u + 110
= 35 u + 138
35 u + 138 = 418
35 u = 418 - 138
35 u = 280
1 u = 280 ÷ 35 = 8
Number of bowls that Erika had
= 15 u + 110
= 15 x 8 + 110
= 120 + 110
= 230
Answer(s): 230