In a shop, the number of cartons of grapefruit juice sold was
14 the number of cartons left. When 83 more cartons were sold, the total number of cartons sold was 12 less than
56 the number of cartons the shop had at first. How many cartons were left?
| |
Sold |
Left |
Total |
| Before |
1x6 =
6 u |
4x6 =
24 u |
5x6 =
30 u
|
| Change |
+ 83 |
- 83 |
|
| After |
6 u + 83 |
24 u - 83 |
30 u |
Comparing the total
number of cartons
sold and the total number of cartons at first |
5x5 - 12 =
25 u - 12 |
|
6x5 =
30 u |
The total number of cartons is repeated. Make the total number of cartons the same. LCM of 5 and 6 is 30.
The number of cartons sold in the end is repeated.
25 u - 12 = 6 u + 83
25 u - 6 u = 83 + 12
19 u = 95
1 u = 95 ÷ 19 = 5
Number of cartons left
= 24 u - 83
= 24 x 5 - 83
= 120 - 83
= 37
Answer(s): 37
