Sean 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 332 boxes. As a result, the total number of painted boxes became 28 more than
45 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 |
+ 332 |
- 332 |
|
After |
5 u + 332 |
25 u - 332 |
30 u |
Comparing painted and not painted boxes in the end |
4x6 + 28 = 24 u + 28 |
1x6 - 28 = 6 u - 28 |
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.
24 u + 28 = 5 u + 332
24 u - 5 u = 332 - 28
19 u = 304
1 u = 304 ÷ 19 = 16
Number of more boxes that were not painted than painted on the first day
= 25 u - 5 u
= 20 u
= 20 x 16
= 320
Answer(s): 320