In a shop, the number of cartons of passion fruit juice sold was
12 the number of cartons left. When 68 more cartons were sold, the total number of cartons sold was 8 less than
79 the number of cartons the shop had at first. How many cartons were there at first?
|
Sold |
Left |
Total |
Before |
1x3 = 3 u |
2x3 = 6 u |
3x3 = 9 u
|
Change |
+ 68 |
- 68 |
|
After |
3 u + 68 |
6 u - 68 |
9 u |
Comparing the total number of cartons sold and the total number of cartons at first |
7x1 - 8 = 7 u - 8 |
|
9x1 = 9 u |
The total number of cartons is repeated. Make the total number of cartons the same. LCM of 3 and 9 is 9.
The number of cartons sold in the end is repeated.
7 u - 8 = 3 u + 68
7 u - 3 u = 68 + 8
4 u = 76
1 u = 76 ÷ 4 = 19
Number of cartons at first
= 9 u
= 9 x 19
= 171
Answer(s): 171