Emma was packing her spoons, bowls and plates to be moved to her new shop. She packed 78 more spoons than bowls, and 37 more plates than spoons. While moving
23 of her spoons and
16 of the bowls were broken. The remaining 258 items were not broken. How many plates did she have?
| |
Spoons |
Bowls |
Plates |
Total |
Before |
3x2 =
6 u |
+ 78 |
6 u |
6 u |
+ 78 + 37 |
|
Change |
- 2x2 =
- 4 u |
- 52 |
- 1 u |
|
|
|
After |
1x2 =
2 u |
+ 26 |
5 u |
6 u |
+ 115 |
258 |
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 + 115
= 13 u + 141
13 u + 141 = 258
13 u = 258 - 141
13 u = 117
1 u = 117 ÷ 13 = 9
Number of plates that Emma had
= 6 u + 115
= 6 x 9 + 115
= 54 + 115
= 169
Answer(s): 169
