Ryan 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 49 boxes. As a result, the total number of painted boxes became 27 more than
35 of the total number of boxes. How many less boxes were painted than unpainted on the first day?
|
Painted |
Not painted |
Total |
Before
|
2x5 = 10 u |
5x5 = 25 u |
7x5 = 35 u |
Change |
+ 49 |
- 49 |
|
After |
10 u + 49 |
25 u - 49 |
35 u |
Comparing painted and not painted boxes in the end |
3x7 + 27 = 21 u + 27 |
2x7 - 27 = 14 u - 27 |
5x7 = 35 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 5 is 35.
The number of boxes painted in the end is repeated.
21 u + 27 = 10 u + 49
21 u - 10 u = 49 - 27
11 u = 22
1 u = 22 ÷ 11 = 2
Number of less boxes that were painted than not painted on the first day
= 25 u - 10 u
= 15 u
= 15 x 2
= 30
Answer(s): 30