Betty was packing her bowls, plates and spoons to be moved to her new shop. She packed 78 more bowls than plates, and 51 more spoons than bowls. While moving
23 of her bowls and
16 of the plates were broken. The remaining 194 items were not broken. How many spoons did she have?
|
Bowls |
Plates |
Spoons |
Total |
Before |
3x2 = 6 u |
+ 78 |
6 u |
6 u |
+ 78 + 51 |
|
Change |
- 2x2 = - 4 u |
- 52 |
- 1 u |
|
|
|
After |
1x2 = 2 u |
+ 26 |
5 u |
6 u |
+ 129 |
194 |
23 x 78 = 52
LCM of 3 and 6 is 6.
Total number of items that was not broken
= 2 u + 26 + 5 u + 6 u + 129
= 13 u + 155
13 u + 155 = 194
13 u = 194 - 155
13 u = 39
1 u = 39 ÷ 13 = 3
Number of spoons that Betty had
= 6 u + 129
= 6 x 3 + 129
= 18 + 129
= 147
Answer(s): 147