In a shop, the number of cartons of grapefruit juice sold was
15 the number of cartons left. When 70 more cartons were sold, the total number of cartons sold was 7 less than
58 the number of cartons the shop had at first. How many cartons were left?
|
Sold |
Left |
Total |
Before |
1x4 = 4 u |
5x4 = 20 u |
6x4 = 24 u
|
Change |
+ 70 |
- 70 |
|
After |
4 u + 70 |
20 u - 70 |
24 u |
Comparing the total number of cartons sold and the total number of cartons at first |
5x3 - 7 = 15 u - 7 |
|
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 - 7 = 4 u + 70
15 u - 4 u = 70 + 7
11 u = 77
1 u = 77 ÷ 11 = 7
Number of cartons left
= 20 u - 70
= 20 x 7 - 70
= 140 - 70
= 70
Answer(s): 70