In a shop, the number of cartons of lemon juice sold was
13 the number of cartons left. When 83 more cartons were sold, the total number of cartons sold was 8 less than
56 the number of cartons the shop had at first. How many cartons were there at first?
|
Sold |
Left |
Total |
Before |
1x3 = 3 u |
3x3 = 9 u |
4x3 = 12 u
|
Change |
+ 83 |
- 83 |
|
After |
3 u + 83 |
9 u - 83 |
12 u |
Comparing the total number of cartons sold and the total number of cartons at first |
5x2 - 8 = 10 u - 8 |
|
6x2 = 12 u |
The total number of cartons is repeated. Make the total number of cartons the same. LCM of 4 and 6 is 12.
The number of cartons sold in the end is repeated.
10 u - 8 = 3 u + 83
10 u - 3 u = 83 + 8
7 u = 91
1 u = 91 ÷ 7 = 13
Number of cartons at first
= 12 u
= 12 x 13
= 156
Answer(s): 156