Xandra was packing her plates, bowls and spoons to be moved to her new shop. She packed 75 more plates than bowls, and 58 more spoons than plates. While moving
25 of her plates and
115 of the bowls were broken. The remaining 368 items were not broken. How many spoons did she have?
|
Plates |
Bowls |
Spoons |
Total |
Before |
5x3 = 15 u |
+ 75 |
15 u |
15 u |
+ 75 + 58 |
|
Change |
- 2x3 = - 6 u |
- 30 |
- 1 u |
|
|
|
After |
3x3 = 9 u |
+ 45 |
14 u |
15 u |
+ 133 |
368 |
25 x 75 = 30
LCM of 5 and 15 is 15.
Total number of items that was not broken
= 9 u + 45 + 14 u + 15 u + 133
= 38 u + 178
38 u + 178 = 368
38 u = 368 - 178
38 u = 190
1 u = 190 ÷ 38 = 5
Number of spoons that Xandra had
= 15 u + 133
= 15 x 5 + 133
= 75 + 133
= 208
Answer(s): 208