Irene was packing her spoons, bowls and plates to be moved to her new shop. She packed 72 more spoons than bowls, and 18 more plates than spoons. While moving
23 of her spoons and
19 of the bowls were broken. The remaining 194 items were not broken. How many plates did she have?
| |
Spoons |
Bowls |
Plates |
Total |
Before |
3x3 =
9 u |
+ 72 |
9 u |
9 u |
+ 72 + 18 |
|
Change |
- 2x3 =
- 6 u |
- 48 |
- 1 u |
|
|
|
After |
1x3 =
3 u |
+ 24 |
8 u |
9 u |
+ 90 |
194 |
23 x 72 = 48
LCM of 3 and 9 is 9.
Total number of items that was not broken
= 3 u + 24 + 8 u + 9 u + 90
= 20 u + 114
20 u + 114 = 194
20 u = 194 - 114
20 u = 80
1 u = 80 ÷ 20 = 4
Number of plates that Irene had
= 9 u + 90
= 9 x 4 + 90
= 36 + 90
= 126
Answer(s): 126
