In a shop, the number of cartons of mango juice sold was
12 the number of cartons left. When 27 more cartons were sold, the total number of cartons sold was 8 less than
58 the number of cartons the shop had at first. How many cartons were there at first?
|
Sold |
Left |
Total |
Before |
1x8 = 8 u |
2x8 = 16 u |
3x8 = 24 u
|
Change |
+ 27 |
- 27 |
|
After |
8 u + 27 |
16 u - 27 |
24 u |
Comparing the total number of cartons sold and the total number of cartons at first |
5x3 - 8 = 15 u - 8 |
|
8x3 = 24 u |
The total number of cartons is repeated. Make the total number of cartons the same. LCM of 3 and 8 is 24.
The number of cartons sold in the end is repeated.
15 u - 8 = 8 u + 27
15 u - 8 u = 27 + 8
7 u = 35
1 u = 35 ÷ 7 = 5
Number of cartons at first
= 24 u
= 24 x 5
= 120
Answer(s): 120