Henry 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 164 boxes. As a result, the total number of painted boxes became 21 more than
35 of the total number of boxes. How many more boxes were unpainted than painted on the first day?
|
Painted |
Not painted |
Total |
Before
|
1x5 = 5 u |
5x5 = 25 u |
6x5 = 30 u |
Change |
+ 164 |
- 164 |
|
After |
5 u + 164 |
25 u - 164 |
30 u |
Comparing painted and not painted boxes in the end |
3x6 + 21 = 18 u + 21 |
2x6 - 21 = 12 u - 21 |
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.
18 u + 21 = 5 u + 164
18 u - 5 u = 164 - 21
13 u = 143
1 u = 143 ÷ 13 = 11
Number of more boxes that were not painted than painted on the first day
= 25 u - 5 u
= 20 u
= 20 x 11
= 220
Answer(s): 220