Irene was packing her plates, bowls and spoons to be moved to her new shop. She packed 20 more plates than bowls, and 31 more spoons than plates. While moving
45 of her plates and
115 of the bowls were broken. The remaining 247 items were not broken. How many spoons did she have?
| |
Plates |
Bowls |
Spoons |
Total |
Before |
5x3 =
15 u |
+ 20 |
15 u |
15 u |
+ 20 + 31 |
|
Change |
- 4x3 =
- 12 u |
- 16 |
- 1 u |
|
|
|
After |
1x3 =
3 u |
+ 4 |
14 u |
15 u |
+ 51 |
247 |
45 x 20 = 16
LCM of 5 and 15 is 15.
Total number of items that was not broken
= 3 u + 4 + 14 u + 15 u + 51
= 32 u + 55
32 u + 55 = 247
32 u = 247 - 55
32 u = 192
1 u = 192 ÷ 32 = 6
Number of spoons that Irene had
= 15 u + 51
= 15 x 6 + 51
= 90 + 51
= 141
Answer(s): 141
