In a shop, the number of cartons of grapefruit juice sold was
14 the number of cartons left. When 42 more cartons were sold, the total number of cartons sold was 8 less than
710 the number of cartons the shop had at first. How many cartons were left?
|
Sold |
Left |
Total |
Before |
1x2 = 2 u |
4x2 = 8 u |
5x2 = 10 u
|
Change |
+ 42 |
- 42 |
|
After |
2 u + 42 |
8 u - 42 |
10 u |
Comparing the total number of cartons sold and the total number of cartons at first |
7x1 - 8 = 7 u - 8 |
|
10x1 = 10 u |
The total number of cartons is repeated. Make the total number of cartons the same. LCM of 5 and 10 is 10.
The number of cartons sold in the end is repeated.
7 u - 8 = 2 u + 42
7 u - 2 u = 42 + 8
5 u = 50
1 u = 50 ÷ 5 = 10
Number of cartons left
= 8 u - 42
= 8 x 10 - 42
= 80 - 42
= 38
Answer(s): 38