Dana was packing her plates, bowls and spoons to be moved to her new shop. She packed 54 more plates than bowls, and 23 more spoons than plates. While moving
23 of her plates and
19 of the bowls were broken. The remaining 295 items were not broken. How many spoons did she have?
| |
Plates |
Bowls |
Spoons |
Total |
Before |
3x3 =
9 u |
+ 54 |
9 u |
9 u |
+ 54 + 23 |
|
Change |
- 2x3 =
- 6 u |
- 36 |
- 1 u |
|
|
|
After |
1x3 =
3 u |
+ 18 |
8 u |
9 u |
+ 77 |
295 |
23 x 54 = 36
LCM of 3 and 9 is 9.
Total number of items that was not broken
= 3 u + 18 + 8 u + 9 u + 77
= 20 u + 95
20 u + 95 = 295
20 u = 295 - 95
20 u = 200
1 u = 200 ÷ 20 = 10
Number of spoons that Dana had
= 9 u + 77
= 9 x 10 + 77
= 90 + 77
= 167
Answer(s): 167
