In a shop, the number of cartons of passion fruit juice sold was
12 the number of cartons left. When 72 more cartons were sold, the total number of cartons sold was 5 less than
58 the number of cartons the shop had at first. How many cartons were left?
|
Sold |
Left |
Total |
Before |
1x8 = 8 u |
2x8 = 16 u |
3x8 = 24 u
|
Change |
+ 72 |
- 72 |
|
After |
8 u + 72 |
16 u - 72 |
24 u |
Comparing the total number of cartons sold and the total number of cartons at first |
5x3 - 5 = 15 u - 5 |
|
8x3 = 24 u |
The total number of cartons is repeated. Make the total number of cartons the same. LCM of 3 and 8 is 24.
The number of cartons sold in the end is repeated.
15 u - 5 = 8 u + 72
15 u - 8 u = 72 + 5
7 u = 77
1 u = 77 ÷ 7 = 11
Number of cartons left
= 16 u - 72
= 16 x 11 - 72
= 176 - 72
= 104
Answer(s): 104