Sarah was packing her spoons, bowls and plates to be moved to her new shop. She packed 84 more spoons than bowls, and 60 more plates than spoons. While moving
23 of her spoons and
16 of the bowls were broken. The remaining 237 items were not broken. How many plates did she have?
| |
Spoons |
Bowls |
Plates |
Total |
Before |
3x2 =
6 u |
+ 84 |
6 u |
6 u |
+ 84 + 60 |
|
Change |
- 2x2 =
- 4 u |
- 56 |
- 1 u |
|
|
|
After |
1x2 =
2 u |
+ 28 |
5 u |
6 u |
+ 144 |
237 |
23 x 84 = 56
LCM of 3 and 6 is 6.
Total number of items that was not broken
= 2 u + 28 + 5 u + 6 u + 144
= 13 u + 172
13 u + 172 = 237
13 u = 237 - 172
13 u = 65
1 u = 65 ÷ 13 = 5
Number of plates that Sarah had
= 6 u + 144
= 6 x 5 + 144
= 30 + 144
= 174
Answer(s): 174
