Nora was packing her plates, bowls and spoons to be moved to her new shop. She packed 84 more plates than bowls, and 57 more spoons than plates. While moving
23 of her plates and
19 of the bowls were broken. The remaining 369 items were not broken. How many spoons did she have?
| |
Plates |
Bowls |
Spoons |
Total |
Before |
3x3 =
9 u |
+ 84 |
9 u |
9 u |
+ 84 + 57 |
|
Change |
- 2x3 =
- 6 u |
- 56 |
- 1 u |
|
|
|
After |
1x3 =
3 u |
+ 28 |
8 u |
9 u |
+ 141 |
369 |
23 x 84 = 56
LCM of 3 and 9 is 9.
Total number of items that was not broken
= 3 u + 28 + 8 u + 9 u + 141
= 20 u + 169
20 u + 169 = 369
20 u = 369 - 169
20 u = 200
1 u = 200 ÷ 20 = 10
Number of spoons that Nora had
= 9 u + 141
= 9 x 10 + 141
= 90 + 141
= 231
Answer(s): 231
