Barbara was packing her plates, spoons and bowls to be moved to her new shop. She packed 80 more plates than spoons, and 34 more bowls than plates. While moving
34 of her plates and
18 of the spoons were broken. The remaining 185 items were not broken. How many bowls did she have?
| |
Plates |
Spoons |
Bowls |
Total |
Before |
4x2 =
8 u |
+ 80 |
8 u |
8 u |
+ 80 + 34 |
|
Change |
- 3x2 =
- 6 u |
- 60 |
- 1 u |
|
|
|
After |
1x2 =
2 u |
+ 20 |
7 u |
8 u |
+ 114 |
185 |
34 x 80 = 60
LCM of 4 and 8 is 8.
Total number of items that was not broken
= 2 u + 20 + 7 u + 8 u + 114
= 17 u + 134
17 u + 134 = 185
17 u = 185 - 134
17 u = 51
1 u = 51 ÷ 17 = 3
Number of bowls that Barbara had
= 8 u + 114
= 8 x 3 + 114
= 24 + 114
= 138
Answer(s): 138
