Jenson 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 25 boxes. As a result, the total number of painted boxes became 16 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 |
+ 25 |
- 25 |
|
After |
4 u + 25 |
10 u - 25 |
14 u |
Comparing painted and not painted boxes in the end |
1x7 + 16 = 7 u + 16 |
1x7 - 16 = 7 u - 16 |
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 + 16 = 4 u + 25
7 u - 4 u = 25 - 16
3 u = 9
1 u = 9 ÷ 3 = 3
Number of less boxes that were painted than not painted on the first day
= 10 u - 4 u
= 6 u
= 6 x 3
= 18
Answer(s): 18