Xuan was packing her plates, bowls and spoons to be moved to her new shop. She packed 42 more plates than bowls, and 50 more spoons than plates. While moving
23 of her plates and
16 of the bowls were broken. The remaining 262 items were not broken. How many spoons did she have?
| |
Plates |
Bowls |
Spoons |
Total |
Before |
3x2 =
6 u |
+ 42 |
6 u |
6 u |
+ 42 + 50 |
|
Change |
- 2x2 =
- 4 u |
- 28 |
- 1 u |
|
|
|
After |
1x2 =
2 u |
+ 14 |
5 u |
6 u |
+ 92 |
262 |
23 x 42 = 28
LCM of 3 and 6 is 6.
Total number of items that was not broken
= 2 u + 14 + 5 u + 6 u + 92
= 13 u + 106
13 u + 106 = 262
13 u = 262 - 106
13 u = 156
1 u = 156 ÷ 13 = 12
Number of spoons that Xuan had
= 6 u + 92
= 6 x 12 + 92
= 72 + 92
= 164
Answer(s): 164
