In a shop, the number of cartons of kiwi juice sold was
13 the number of cartons left. When 45 more cartons were sold, the total number of cartons sold was 9 less than
710 the number of cartons the shop had at first. How many cartons were there at first?
|
Sold |
Left |
Total |
Before |
1x5 = 5 u |
3x5 = 15 u |
4x5 = 20 u
|
Change |
+ 45 |
- 45 |
|
After |
5 u + 45 |
15 u - 45 |
20 u |
Comparing the total number of cartons sold and the total number of cartons at first |
7x2 - 9 = 14 u - 9 |
|
10x2 = 20 u |
The total number of cartons is repeated. Make the total number of cartons the same. LCM of 4 and 10 is 20.
The number of cartons sold in the end is repeated.
14 u - 9 = 5 u + 45
14 u - 5 u = 45 + 9
9 u = 54
1 u = 54 ÷ 9 = 6
Number of cartons at first
= 20 u
= 20 x 6
= 120
Answer(s): 120