In a shop, the number of cartons of mangosteen juice sold was
13 the number of cartons left. When 65 more cartons were sold, the total number of cartons sold was 5 less than
78 the number of cartons the shop had at first. How many cartons were there at first?
|
Sold |
Left |
Total |
Before |
1x2 = 2 u |
3x2 = 6 u |
4x2 = 8 u
|
Change |
+ 65 |
- 65 |
|
After |
2 u + 65 |
6 u - 65 |
8 u |
Comparing the total number of cartons sold and the total number of cartons at first |
7x1 - 5 = 7 u - 5 |
|
8x1 = 8 u |
The total number of cartons is repeated. Make the total number of cartons the same. LCM of 4 and 8 is 8.
The number of cartons sold in the end is repeated.
7 u - 5 = 2 u + 65
7 u - 2 u = 65 + 5
5 u = 70
1 u = 70 ÷ 5 = 14
Number of cartons at first
= 8 u
= 8 x 14
= 112
Answer(s): 112