Tammy was packing her spoons, bowls and plates to be moved to her new shop. She packed 66 more spoons than bowls, and 30 more plates than spoons. While moving
23 of her spoons and
16 of the bowls were broken. The remaining 157 items were not broken. How many plates did she have?
| |
Spoons |
Bowls |
Plates |
Total |
Before |
3x2 =
6 u |
+ 66 |
6 u |
6 u |
+ 66 + 30 |
|
Change |
- 2x2 =
- 4 u |
- 44 |
- 1 u |
|
|
|
After |
1x2 =
2 u |
+ 22 |
5 u |
6 u |
+ 96 |
157 |
23 x 66 = 44
LCM of 3 and 6 is 6.
Total number of items that was not broken
= 2 u + 22 + 5 u + 6 u + 96
= 13 u + 118
13 u + 118 = 157
13 u = 157 - 118
13 u = 39
1 u = 39 ÷ 13 = 3
Number of plates that Tammy had
= 6 u + 96
= 6 x 3 + 96
= 18 + 96
= 114
Answer(s): 114
