Vanessa was packing her spoons, plates and bowls to be moved to her new shop. She packed 66 more spoons than plates, and 21 more bowls than spoons. While moving
23 of her spoons and
16 of the plates were broken. The remaining 174 items were not broken. How many bowls did she have?
| |
Spoons |
Plates |
Bowls |
Total |
Before |
3x2 =
6 u |
+ 66 |
6 u |
6 u |
+ 66 + 21 |
|
Change |
- 2x2 =
- 4 u |
- 44 |
- 1 u |
|
|
|
After |
1x2 =
2 u |
+ 22 |
5 u |
6 u |
+ 87 |
174 |
23 x 66 = 44
LCM of 3 and 6 is 6.
Total number of items that was not broken
= 2 u + 22 + 5 u + 6 u + 87
= 13 u + 109
13 u + 109 = 174
13 u = 174 - 109
13 u = 65
1 u = 65 ÷ 13 = 5
Number of bowls that Vanessa had
= 6 u + 87
= 6 x 5 + 87
= 30 + 87
= 117
Answer(s): 117
