Jack 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 154 boxes. As a result, the total number of painted boxes became 14 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 |
+ 154 |
- 154 |
|
After |
5 u + 154 |
25 u - 154 |
30 u |
Comparing painted and not painted boxes in the end |
2x6 + 14 = 12 u + 14 |
3x6 - 14 = 18 u - 14 |
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 + 14 = 5 u + 154
12 u - 5 u = 154 - 14
7 u = 140
1 u = 140 ÷ 7 = 20
Number of less boxes that were painted than not painted on the first day
= 25 u - 5 u
= 20 u
= 20 x 20
= 400
Answer(s): 400