Esther was packing her bowls, spoons and plates to be moved to her new shop. She packed 72 more bowls than spoons, and 13 more plates than bowls. While moving
23 of her bowls and
19 of the spoons were broken. The remaining 309 items were not broken. How many plates did she have?
| |
Bowls |
Spoons |
Plates |
Total |
Before |
3x3 =
9 u |
+ 72 |
9 u |
9 u |
+ 72 + 13 |
|
Change |
- 2x3 =
- 6 u |
- 48 |
- 1 u |
|
|
|
After |
1x3 =
3 u |
+ 24 |
8 u |
9 u |
+ 85 |
309 |
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 + 85
= 20 u + 109
20 u + 109 = 309
20 u = 309 - 109
20 u = 200
1 u = 200 ÷ 20 = 10
Number of plates that Esther had
= 9 u + 85
= 9 x 10 + 85
= 90 + 85
= 175
Answer(s): 175
