Asher had to paint some boxes. On the first day, the number of boxes he painted was 40% of the number of boxes that he had not painted. One week later, he painted another 27 boxes. As a result, the total number of painted boxes became 21 more than
12 of the total number of boxes. How many less boxes were painted than unpainted on the first day?
|
Painted |
Not painted |
Total |
Before
|
2x2 = 4 u |
5x2 = 10 u |
7x2 = 14 u |
Change |
+ 27 |
- 27 |
|
After |
4 u + 27 |
10 u - 27 |
14 u |
Comparing painted and not painted boxes in the end |
1x7 + 21 = 7 u + 21 |
1x7 - 21 = 7 u - 21 |
2x7 = 14 u |
40% =
40100 =
25Painted : Not painted = 2 : 5
The total number of boxes remains unchanged. Make the total number of boxes at first and in the end the same. LCM of 7 and 2 is 14.
The number of boxes painted in the end is repeated.
7 u + 21 = 4 u + 27
7 u - 4 u = 27 - 21
3 u = 6
1 u = 6 ÷ 3 = 2
Number of less boxes that were painted than not painted on the first day
= 10 u - 4 u
= 6 u
= 6 x 2
= 12
Answer(s): 12