In a shop, the number of cartons of orange juice sold was
14 the number of cartons left. When 96 more cartons were sold, the total number of cartons sold was 6 less than
58 the number of cartons the shop had at first. How many cartons were there at first?
|
Sold |
Left |
Total |
Before |
1x8 = 8 u |
4x8 = 32 u |
5x8 = 40 u
|
Change |
+ 96 |
- 96 |
|
After |
8 u + 96 |
32 u - 96 |
40 u |
Comparing the total number of cartons sold and the total number of cartons at first |
5x5 - 6 = 25 u - 6 |
|
8x5 = 40 u |
The total number of cartons is repeated. Make the total number of cartons the same. LCM of 5 and 8 is 40.
The number of cartons sold in the end is repeated.
25 u - 6 = 8 u + 96
25 u - 8 u = 96 + 6
17 u = 102
1 u = 102 ÷ 17 = 6
Number of cartons at first
= 40 u
= 40 x 6
= 240
Answer(s): 240