Fabian 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 123 boxes. As a result, the total number of painted boxes became 25 more than
34 of the total number of boxes. How many more boxes were unpainted than painted on the first day?
|
Painted |
Not painted |
Total |
Before
|
1x2 = 2 u |
5x2 = 10 u |
6x2 = 12 u |
Change |
+ 123 |
- 123 |
|
After |
2 u + 123 |
10 u - 123 |
12 u |
Comparing painted and not painted boxes in the end |
3x3 + 25 = 9 u + 25 |
1x3 - 25 = 3 u - 25 |
4x3 = 12 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 4 is 12.
The number of boxes painted in the end is repeated.
9 u + 25 = 2 u + 123
9 u - 2 u = 123 - 25
7 u = 98
1 u = 98 ÷ 7 = 14
Number of more boxes that were not painted than painted on the first day
= 10 u - 2 u
= 8 u
= 8 x 14
= 112
Answer(s): 112