Sabrina was packing her spoons, bowls and plates to be moved to her new shop. She packed 39 more spoons than bowls, and 17 more plates than spoons. While moving
23 of her spoons and
16 of the bowls were broken. The remaining 121 items were not broken. How many plates did she have?
|
Spoons |
Bowls |
Plates |
Total |
Before |
3x2 = 6 u |
+ 39 |
6 u |
6 u |
+ 39 + 17 |
|
Change |
- 2x2 = - 4 u |
- 26 |
- 1 u |
|
|
|
After |
1x2 = 2 u |
+ 13 |
5 u |
6 u |
+ 56 |
121 |
23 x 39 = 26
LCM of 3 and 6 is 6.
Total number of items that was not broken
= 2 u + 13 + 5 u + 6 u + 56
= 13 u + 69
13 u + 69 = 121
13 u = 121 - 69
13 u = 52
1 u = 52 ÷ 13 = 4
Number of plates that Sabrina had
= 6 u + 56
= 6 x 4 + 56
= 24 + 56
= 80
Answer(s): 80