Cathy was packing her bowls, plates and spoons to be moved to her new shop. She packed 75 more bowls than plates, and 56 more spoons than bowls. While moving
23 of her bowls and
19 of the plates were broken. The remaining 236 items were not broken. How many spoons did she have?
| |
Bowls |
Plates |
Spoons |
Total |
Before |
3x3 =
9 u |
+ 75 |
9 u |
9 u |
+ 75 + 56 |
|
Change |
- 2x3 =
- 6 u |
- 50 |
- 1 u |
|
|
|
After |
1x3 =
3 u |
+ 25 |
8 u |
9 u |
+ 131 |
236 |
23 x 75 = 50
LCM of 3 and 9 is 9.
Total number of items that was not broken
= 3 u + 25 + 8 u + 9 u + 131
= 20 u + 156
20 u + 156 = 236
20 u = 236 - 156
20 u = 80
1 u = 80 ÷ 20 = 4
Number of spoons that Cathy had
= 9 u + 131
= 9 x 4 + 131
= 36 + 131
= 167
Answer(s): 167
