Cindy was packing her plates, bowls and spoons to be moved to her new shop. She packed 55 more plates than bowls, and 44 more spoons than plates. While moving
25 of her plates and
110 of the bowls were broken. The remaining 432 items were not broken. How many spoons did she have?
|
Plates |
Bowls |
Spoons |
Total |
Before |
5x2 = 10 u |
+ 55 |
10 u |
10 u |
+ 55 + 44 |
|
Change |
- 2x2 = - 4 u |
- 22 |
- 1 u |
|
|
|
After |
3x2 = 6 u |
+ 33 |
9 u |
10 u |
+ 99 |
432 |
25 x 55 = 22
LCM of 5 and 10 is 10.
Total number of items that was not broken
= 6 u + 33 + 9 u + 10 u + 99
= 25 u + 132
25 u + 132 = 432
25 u = 432 - 132
25 u = 300
1 u = 300 ÷ 25 = 12
Number of spoons that Cindy had
= 10 u + 99
= 10 x 12 + 99
= 120 + 99
= 219
Answer(s): 219