Sean 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 282 boxes. As a result, the total number of painted boxes became 18 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
|
3x5 = 15 u |
10x5 = 50 u |
13x5 = 65 u |
Change |
+ 282 |
- 282 |
|
After |
15 u + 282 |
50 u - 282 |
65 u |
Comparing painted and not painted boxes in the end |
3x13 + 18 = 39 u + 18 |
2x13 - 18 = 26 u - 18 |
5x13 = 65 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 5 is 65.
The number of boxes painted in the end is repeated.
39 u + 18 = 15 u + 282
39 u - 15 u = 282 - 18
24 u = 264
1 u = 264 ÷ 24 = 11
Number of less boxes that were painted than not painted on the first day
= 50 u - 15 u
= 35 u
= 35 x 11
= 385
Answer(s): 385