In a shop, the number of cartons of persimmon juice sold was
14 the number of cartons left. When 58 more cartons were sold, the total number of cartons sold was 7 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 |
4x7 = 28 u |
5x7 = 35 u
|
Change |
+ 58 |
- 58 |
|
After |
7 u + 58 |
28 u - 58 |
35 u |
Comparing the total number of cartons sold and the total number of cartons at first |
4x5 - 7 = 20 u - 7 |
|
7x5 = 35 u |
The total number of cartons is repeated. Make the total number of cartons the same. LCM of 5 and 7 is 35.
The number of cartons sold in the end is repeated.
20 u - 7 = 7 u + 58
20 u - 7 u = 58 + 7
13 u = 65
1 u = 65 ÷ 13 = 5
Number of cartons at first
= 35 u
= 35 x 5
= 175
Answer(s): 175