Owen 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 118 boxes. As a result, the total number of painted boxes became 13 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 |
+ 118 |
- 118 |
|
After |
2 u + 118 |
10 u - 118 |
12 u |
Comparing painted and not painted boxes in the end |
3x3 + 13 = 9 u + 13 |
1x3 - 13 = 3 u - 13 |
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 + 13 = 2 u + 118
9 u - 2 u = 118 - 13
7 u = 105
1 u = 105 ÷ 7 = 15
Number of more boxes that were not painted than painted on the first day
= 10 u - 2 u
= 8 u
= 8 x 15
= 120
Answer(s): 120