In a shop, the number of cartons of kiwi juice sold was
12 the number of cartons left. When 96 more cartons were sold, the total number of cartons sold was 6 less than
910 the number of cartons the shop had at first. How many cartons were there at first?
|
Sold |
Left |
Total |
Before |
1x10 = 10 u |
2x10 = 20 u |
3x10 = 30 u
|
Change |
+ 96 |
- 96 |
|
After |
10 u + 96 |
20 u - 96 |
30 u |
Comparing the total number of cartons sold and the total number of cartons at first |
9x3 - 6 = 27 u - 6 |
|
10x3 = 30 u |
The total number of cartons is repeated. Make the total number of cartons the same. LCM of 3 and 10 is 30.
The number of cartons sold in the end is repeated.
27 u - 6 = 10 u + 96
27 u - 10 u = 96 + 6
17 u = 102
1 u = 102 ÷ 17 = 6
Number of cartons at first
= 30 u
= 30 x 6
= 180
Answer(s): 180