Jenson had to paint some boxes. On the first day, the number of boxes he painted was 30% of the number of boxes that he had not painted. One week later, he painted another 122 boxes. As a result, the total number of painted boxes became 17 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
|
3x2 = 6 u |
10x2 = 20 u |
13x2 = 26 u |
Change |
+ 122 |
- 122 |
|
After |
6 u + 122 |
20 u - 122 |
26 u |
Comparing painted and not painted boxes in the end |
1x13 + 17 = 13 u + 17 |
1x13 - 17 = 13 u - 17 |
2x13 = 26 u |
30% =
30100 =
310Painted : Not painted = 3 : 10
The total number of boxes remains unchanged. Make the total number of boxes at first and in the end the same. LCM of 13 and 2 is 26.
The number of boxes painted in the end is repeated.
13 u + 17 = 6 u + 122
13 u - 6 u = 122 - 17
7 u = 105
1 u = 105 ÷ 7 = 15
Number of less boxes that were painted than not painted on the first day
= 20 u - 6 u
= 14 u
= 14 x 15
= 210
Answer(s): 210