Esther was packing her plates, spoons and bowls to be moved to her new shop. She packed 90 more plates than spoons, and 53 more bowls than plates. While moving
25 of her plates and
115 of the spoons were broken. The remaining 387 items were not broken. How many bowls did she have?
| |
Plates |
Spoons |
Bowls |
Total |
Before |
5x3 =
15 u |
+ 90 |
15 u |
15 u |
+ 90 + 53 |
|
Change |
- 2x3 =
- 6 u |
- 36 |
- 1 u |
|
|
|
After |
3x3 =
9 u |
+ 54 |
14 u |
15 u |
+ 143 |
387 |
25 x 90 = 36
LCM of 5 and 15 is 15.
Total number of items that was not broken
= 9 u + 54 + 14 u + 15 u + 143
= 38 u + 197
38 u + 197 = 387
38 u = 387 - 197
38 u = 190
1 u = 190 ÷ 38 = 5
Number of bowls that Esther had
= 15 u + 143
= 15 x 5 + 143
= 75 + 143
= 218
Answer(s): 218
