In a shop, the number of cartons of peach juice sold was
15 the number of cartons left. When 56 more cartons were sold, the total number of cartons sold was 10 less than
58 the number of cartons the shop had at first. How many cartons were there at first?
|
Sold |
Left |
Total |
Before |
1x4 = 4 u |
5x4 = 20 u |
6x4 = 24 u
|
Change |
+ 56 |
- 56 |
|
After |
4 u + 56 |
20 u - 56 |
24 u |
Comparing the total number of cartons sold and the total number of cartons at first |
5x3 - 10 = 15 u - 10 |
|
8x3 = 24 u |
The total number of cartons is repeated. Make the total number of cartons the same. LCM of 6 and 8 is 24.
The number of cartons sold in the end is repeated.
15 u - 10 = 4 u + 56
15 u - 4 u = 56 + 10
11 u = 66
1 u = 66 ÷ 11 = 6
Number of cartons at first
= 24 u
= 24 x 6
= 144
Answer(s): 144