Lynn was packing her bowls, plates and spoons to be moved to her new shop. She packed 40 more bowls than plates, and 14 more spoons than bowls. While moving
45 of her bowls and
110 of the plates were broken. The remaining 314 items were not broken. How many spoons did she have?
| |
Bowls |
Plates |
Spoons |
Total |
Before |
5x2 =
10 u |
+ 40 |
10 u |
10 u |
+ 40 + 14 |
|
Change |
- 4x2 =
- 8 u |
- 32 |
- 1 u |
|
|
|
After |
1x2 =
2 u |
+ 8 |
9 u |
10 u |
+ 54 |
314 |
45 x 40 = 32
LCM of 5 and 10 is 10.
Total number of items that was not broken
= 2 u + 8 + 9 u + 10 u + 54
= 21 u + 62
21 u + 62 = 314
21 u = 314 - 62
21 u = 252
1 u = 252 ÷ 21 = 12
Number of spoons that Lynn had
= 10 u + 54
= 10 x 12 + 54
= 120 + 54
= 174
Answer(s): 174
