Bryan had to paint some boxes. On the first day, the number of boxes he painted was 10% of the number of boxes that he had not painted. One week later, he painted another 164 boxes. As a result, the total number of painted boxes became 29 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
|
1x2 = 2 u |
10x2 = 20 u |
11x2 = 22 u |
Change |
+ 164 |
- 164 |
|
After |
2 u + 164 |
20 u - 164 |
22 u |
Comparing painted and not painted boxes in the end |
1x11 + 29 = 11 u + 29 |
1x11 - 29 = 11 u - 29 |
2x11 = 22 u |
10% =
10100 =
110Painted : Not painted = 1 : 10
The total number of boxes remains unchanged. Make the total number of boxes at first and in the end the same. LCM of 11 and 2 is 22.
The number of boxes painted in the end is repeated.
11 u + 29 = 2 u + 164
11 u - 2 u = 164 - 29
9 u = 135
1 u = 135 ÷ 9 = 15
Number of less boxes that were painted than not painted on the first day
= 20 u - 2 u
= 18 u
= 18 x 15
= 270
Answer(s): 270