Erika was packing her spoons, bowls and plates to be moved to her new shop. She packed 95 more spoons than bowls, and 28 more plates than spoons. While moving
35 of her spoons and
115 of the bowls were broken. The remaining 301 items were not broken. How many plates did she have?
| |
Spoons |
Bowls |
Plates |
Total |
Before |
5x3 =
15 u |
+ 95 |
15 u |
15 u |
+ 95 + 28 |
|
Change |
- 3x3 =
- 9 u |
- 57 |
- 1 u |
|
|
|
After |
2x3 =
6 u |
+ 38 |
14 u |
15 u |
+ 123 |
301 |
35 x 95 = 57
LCM of 5 and 15 is 15.
Total number of items that was not broken
= 6 u + 38 + 14 u + 15 u + 123
= 35 u + 161
35 u + 161 = 301
35 u = 301 - 161
35 u = 140
1 u = 140 ÷ 35 = 4
Number of plates that Erika had
= 15 u + 123
= 15 x 4 + 123
= 60 + 123
= 183
Answer(s): 183
