In a shop, the number of cartons of mangosteen juice sold was
13 the number of cartons left. When 89 more cartons were sold, the total number of cartons sold was 9 less than
56 the number of cartons the shop had at first. How many cartons were left?
|
Sold |
Left |
Total |
Before |
1x3 = 3 u |
3x3 = 9 u |
4x3 = 12 u
|
Change |
+ 89 |
- 89 |
|
After |
3 u + 89 |
9 u - 89 |
12 u |
Comparing the total number of cartons sold and the total number of cartons at first |
5x2 - 9 = 10 u - 9 |
|
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 - 9 = 3 u + 89
10 u - 3 u = 89 + 9
7 u = 98
1 u = 98 ÷ 7 = 14
Number of cartons left
= 9 u - 89
= 9 x 14 - 89
= 126 - 89
= 37
Answer(s): 37