Lucy was packing her bowls, plates and spoons to be moved to her new shop. She packed 10 more bowls than plates, and 20 more spoons than bowls. While moving
45 of her bowls and
115 of the plates were broken. The remaining 416 items were not broken. How many spoons did she have?
| |
Bowls |
Plates |
Spoons |
Total |
Before |
5x3 =
15 u |
+ 10 |
15 u |
15 u |
+ 10 + 20 |
|
Change |
- 4x3 =
- 12 u |
- 8 |
- 1 u |
|
|
|
After |
1x3 =
3 u |
+ 2 |
14 u |
15 u |
+ 30 |
416 |
45 x 10 = 8
LCM of 5 and 15 is 15.
Total number of items that was not broken
= 3 u + 2 + 14 u + 15 u + 30
= 32 u + 32
32 u + 32 = 416
32 u = 416 - 32
32 u = 384
1 u = 384 ÷ 32 = 12
Number of spoons that Lucy had
= 15 u + 30
= 15 x 12 + 30
= 180 + 30
= 210
Answer(s): 210
