Diana was packing her plates, bowls and spoons to be moved to her new shop. She packed 80 more plates than bowls, and 12 more spoons than plates. While moving
25 of her plates and
115 of the bowls were broken. The remaining 444 items were not broken. How many spoons did she have?
| |
Plates |
Bowls |
Spoons |
Total |
Before |
5x3 =
15 u |
+ 80 |
15 u |
15 u |
+ 80 + 12 |
|
Change |
- 2x3 =
- 6 u |
- 32 |
- 1 u |
|
|
|
After |
3x3 =
9 u |
+ 48 |
14 u |
15 u |
+ 92 |
444 |
25 x 80 = 32
LCM of 5 and 15 is 15.
Total number of items that was not broken
= 9 u + 48 + 14 u + 15 u + 92
= 38 u + 140
38 u + 140 = 444
38 u = 444 - 140
38 u = 304
1 u = 304 ÷ 38 = 8
Number of spoons that Diana had
= 15 u + 92
= 15 x 8 + 92
= 120 + 92
= 212
Answer(s): 212
