Xandra was packing her spoons, plates and bowls to be moved to her new shop. She packed 15 more spoons than plates, and 58 more bowls than spoons. While moving
35 of her spoons and
115 of the plates were broken. The remaining 464 items were not broken. How many bowls did she have?
| |
Spoons |
Plates |
Bowls |
Total |
Before |
5x3 =
15 u |
+ 15 |
15 u |
15 u |
+ 15 + 58 |
|
Change |
- 3x3 =
- 9 u |
- 9 |
- 1 u |
|
|
|
After |
2x3 =
6 u |
+ 6 |
14 u |
15 u |
+ 73 |
464 |
35 x 15 = 9
LCM of 5 and 15 is 15.
Total number of items that was not broken
= 6 u + 6 + 14 u + 15 u + 73
= 35 u + 79
35 u + 79 = 464
35 u = 464 - 79
35 u = 385
1 u = 385 ÷ 35 = 11
Number of bowls that Xandra had
= 15 u + 73
= 15 x 11 + 73
= 165 + 73
= 238
Answer(s): 238
