In a shop, the number of cartons of pomegranate juice sold was
12 the number of cartons left. When 99 more cartons were sold, the total number of cartons sold was 11 less than
710 the number of cartons the shop had at first. How many cartons were there at first?
| |
Sold |
Left |
Total |
| Before |
1x10 =
10 u |
2x10 =
20 u |
3x10 =
30 u
|
| Change |
+ 99 |
- 99 |
|
| After |
10 u + 99 |
20 u - 99 |
30 u |
Comparing the total number
of cartons sold and the total
number of cartons at first |
7x3 - 11 =
21 u - 11 |
|
10x3 =
30 u |
The total number of cartons is repeated. Make the total number of cartons the same. LCM of 3 and 10 is 30.
The number of cartons sold in the end is repeated.
21 u - 11 = 10 u + 99
21 u - 10 u = 99 + 11
11 u = 110
1 u = 110 ÷ 11 = 10
Number of cartons at first
= 30 u
= 30 x 10
= 300
Answer(s): 300
