Julian had to paint some boxes. On the first day, the number of boxes he painted was 20% of the number of boxes that he had not painted. One week later, he painted another 102 boxes. As a result, the total number of painted boxes became 11 more than
25 of the total number of boxes. How many less boxes were painted than unpainted on the first day?
|
Painted |
Not painted |
Total |
Before
|
1x5 = 5 u |
5x5 = 25 u |
6x5 = 30 u |
Change |
+ 102 |
- 102 |
|
After |
5 u + 102 |
25 u - 102 |
30 u |
Comparing painted and not painted boxes in the end |
2x6 + 11 = 12 u + 11 |
3x6 - 11 = 18 u - 11 |
5x6 = 30 u |
20% =
20100 =
15Painted : Not painted = 1 : 5
The total number of boxes remains unchanged. Make the total number of boxes at first and in the end the same. LCM of 6 and 5 is 30.
The number of boxes painted in the end is repeated.
12 u + 11 = 5 u + 102
12 u - 5 u = 102 - 11
7 u = 91
1 u = 91 ÷ 7 = 13
Number of less boxes that were painted than not painted on the first day
= 25 u - 5 u
= 20 u
= 20 x 13
= 260
Answer(s): 260