Pamela was packing her spoons, bowls and plates to be moved to her new shop. She packed 60 more spoons than bowls, and 41 more plates than spoons. While moving
45 of her spoons and
110 of the bowls were broken. The remaining 239 items were not broken. How many plates did she have?
| |
Spoons |
Bowls |
Plates |
Total |
Before |
5x2 =
10 u |
+ 60 |
10 u |
10 u |
+ 60 + 41 |
|
Change |
- 4x2 =
- 8 u |
- 48 |
- 1 u |
|
|
|
After |
1x2 =
2 u |
+ 12 |
9 u |
10 u |
+ 101 |
239 |
45 x 60 = 48
LCM of 5 and 10 is 10.
Total number of items that was not broken
= 2 u + 12 + 9 u + 10 u + 101
= 21 u + 113
21 u + 113 = 239
21 u = 239 - 113
21 u = 126
1 u = 126 ÷ 21 = 6
Number of plates that Pamela had
= 10 u + 101
= 10 x 6 + 101
= 60 + 101
= 161
Answer(s): 161
