Tiffany was packing her spoons, bowls and plates to be moved to her new shop. She packed 75 more spoons than bowls, and 28 more plates than spoons. While moving
45 of her spoons and
110 of the bowls were broken. The remaining 181 items were not broken. How many plates did she have?
|
Spoons |
Bowls |
Plates |
Total |
Before |
5x2 = 10 u |
+ 75 |
10 u |
10 u |
+ 75 + 28 |
|
Change |
- 4x2 = - 8 u |
- 60 |
- 1 u |
|
|
|
After |
1x2 = 2 u |
+ 15 |
9 u |
10 u |
+ 103 |
181 |
45 x 75 = 60
LCM of 5 and 10 is 10.
Total number of items that was not broken
= 2 u + 15 + 9 u + 10 u + 103
= 21 u + 118
21 u + 118 = 181
21 u = 181 - 118
21 u = 63
1 u = 63 ÷ 21 = 3
Number of plates that Tiffany had
= 10 u + 103
= 10 x 3 + 103
= 30 + 103
= 133
Answer(s): 133