Xandra was packing her spoons, plates and bowls to be moved to her new shop. She packed 40 more spoons than plates, and 16 more bowls than spoons. While moving
34 of her spoons and
18 of the plates were broken. The remaining 134 items were not broken. How many bowls did she have?
| |
Spoons |
Plates |
Bowls |
Total |
Before |
4x2 =
8 u |
+ 40 |
8 u |
8 u |
+ 40 + 16 |
|
Change |
- 3x2 =
- 6 u |
- 30 |
- 1 u |
|
|
|
After |
1x2 =
2 u |
+ 10 |
7 u |
8 u |
+ 56 |
134 |
34 x 40 = 30
LCM of 4 and 8 is 8.
Total number of items that was not broken
= 2 u + 10 + 7 u + 8 u + 56
= 17 u + 66
17 u + 66 = 134
17 u = 134 - 66
17 u = 68
1 u = 68 ÷ 17 = 4
Number of bowls that Xandra had
= 8 u + 56
= 8 x 4 + 56
= 32 + 56
= 88
Answer(s): 88
