Erika was packing her spoons, bowls and plates to be moved to her new shop. She packed 64 more spoons than bowls, and 59 more plates than spoons. While moving
34 of her spoons and
18 of the bowls were broken. The remaining 207 items were not broken. How many plates did she have?
| |
Spoons |
Bowls |
Plates |
Total |
Before |
4x2 =
8 u |
+ 64 |
8 u |
8 u |
+ 64 + 59 |
|
Change |
- 3x2 =
- 6 u |
- 48 |
- 1 u |
|
|
|
After |
1x2 =
2 u |
+ 16 |
7 u |
8 u |
+ 123 |
207 |
34 x 64 = 48
LCM of 4 and 8 is 8.
Total number of items that was not broken
= 2 u + 16 + 7 u + 8 u + 123
= 17 u + 139
17 u + 139 = 207
17 u = 207 - 139
17 u = 68
1 u = 68 ÷ 17 = 4
Number of plates that Erika had
= 8 u + 123
= 8 x 4 + 123
= 32 + 123
= 155
Answer(s): 155
