Sarah was packing her spoons, bowls and plates to be moved to her new shop. She packed 50 more spoons than bowls, and 14 more plates than spoons. While moving
25 of her spoons and
110 of the bowls were broken. The remaining 244 items were not broken. How many plates did she have?
| |
Spoons |
Bowls |
Plates |
Total |
Before |
5x2 =
10 u |
+ 50 |
10 u |
10 u |
+ 50 + 14 |
|
Change |
- 2x2 =
- 4 u |
- 20 |
- 1 u |
|
|
|
After |
3x2 =
6 u |
+ 30 |
9 u |
10 u |
+ 64 |
244 |
25 x 50 = 20
LCM of 5 and 10 is 10.
Total number of items that was not broken
= 6 u + 30 + 9 u + 10 u + 64
= 25 u + 94
25 u + 94 = 244
25 u = 244 - 94
25 u = 150
1 u = 150 ÷ 25 = 6
Number of plates that Sarah had
= 10 u + 64
= 10 x 6 + 64
= 60 + 64
= 124
Answer(s): 124
