Jen was packing her spoons, bowls and plates to be moved to her new shop. She packed 75 more spoons than bowls, and 21 more plates than spoons. While moving
25 of her spoons and
115 of the bowls were broken. The remaining 255 items were not broken. How many plates did she have?
| |
Spoons |
Bowls |
Plates |
Total |
Before |
5x3 =
15 u |
+ 75 |
15 u |
15 u |
+ 75 + 21 |
|
Change |
- 2x3 =
- 6 u |
- 30 |
- 1 u |
|
|
|
After |
3x3 =
9 u |
+ 45 |
14 u |
15 u |
+ 96 |
255 |
25 x 75 = 30
LCM of 5 and 15 is 15.
Total number of items that was not broken
= 9 u + 45 + 14 u + 15 u + 96
= 38 u + 141
38 u + 141 = 255
38 u = 255 - 141
38 u = 114
1 u = 114 ÷ 38 = 3
Number of plates that Jen had
= 15 u + 96
= 15 x 3 + 96
= 45 + 96
= 141
Answer(s): 141
