In a shop, the number of cartons of kiwi juice sold was
15 the number of cartons left. When 99 more cartons were sold, the total number of cartons sold was 3 less than
47 the number of cartons the shop had at first. How many cartons were there at first?
|
Sold |
Left |
Total |
Before |
1x7 = 7 u |
5x7 = 35 u |
6x7 = 42 u
|
Change |
+ 99 |
- 99 |
|
After |
7 u + 99 |
35 u - 99 |
42 u |
Comparing the total number of cartons sold and the total number of cartons at first |
4x6 - 3 = 24 u - 3 |
|
7x6 = 42 u |
The total number of cartons is repeated. Make the total number of cartons the same. LCM of 6 and 7 is 42.
The number of cartons sold in the end is repeated.
24 u - 3 = 7 u + 99
24 u - 7 u = 99 + 3
17 u = 102
1 u = 102 ÷ 17 = 6
Number of cartons at first
= 42 u
= 42 x 6
= 252
Answer(s): 252