Harry had to paint some boxes. On the first day, the number of boxes he painted was 25% of the number of boxes that he had not painted. One week later, he painted another 176 boxes. As a result, the total number of painted boxes became 11 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
|
1x4 = 4 u |
4x4 = 16 u |
5x4 = 20 u |
Change |
+ 176 |
- 176 |
|
After |
4 u + 176 |
16 u - 176 |
20 u |
Comparing painted and not painted boxes in the end |
3x5 + 11 = 15 u + 11 |
1x5 - 11 = 5 u - 11 |
4x5 = 20 u |
25% =
25100 =
14Painted : Not painted = 1 : 4
The total number of boxes remains unchanged. Make the total number of boxes at first and in the end the same. LCM of 5 and 4 is 20.
The number of boxes painted in the end is repeated.
15 u + 11 = 4 u + 176
15 u - 4 u = 176 - 11
11 u = 165
1 u = 165 ÷ 11 = 15
Number of more boxes that were not painted than painted on the first day
= 16 u - 4 u
= 12 u
= 12 x 15
= 180
Answer(s): 180