Sarah was packing her plates, bowls and spoons to be moved to her new shop. She packed 52 more plates than bowls, and 29 more spoons than plates. While moving
34 of her plates and
18 of the bowls were broken. The remaining 196 items were not broken. How many spoons did she have?
| |
Plates |
Bowls |
Spoons |
Total |
Before |
4x2 =
8 u |
+ 52 |
8 u |
8 u |
+ 52 + 29 |
|
Change |
- 3x2 =
- 6 u |
- 39 |
- 1 u |
|
|
|
After |
1x2 =
2 u |
+ 13 |
7 u |
8 u |
+ 81 |
196 |
34 x 52 = 39
LCM of 4 and 8 is 8.
Total number of items that was not broken
= 2 u + 13 + 7 u + 8 u + 81
= 17 u + 94
17 u + 94 = 196
17 u = 196 - 94
17 u = 102
1 u = 102 ÷ 17 = 6
Number of spoons that Sarah had
= 8 u + 81
= 8 x 6 + 81
= 48 + 81
= 129
Answer(s): 129
