Ian 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 534 boxes. As a result, the total number of painted boxes became 12 more than
34 of the total number of boxes. How many less boxes were painted than unpainted on the first day?
|
Painted |
Not painted |
Total |
Before
|
1x4 = 4 u |
10x4 = 40 u |
11x4 = 44 u |
Change |
+ 534 |
- 534 |
|
After |
4 u + 534 |
40 u - 534 |
44 u |
Comparing painted and not painted boxes in the end |
3x11 + 12 = 33 u + 12 |
1x11 - 12 = 11 u - 12 |
4x11 = 44 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 4 is 44.
The number of boxes painted in the end is repeated.
33 u + 12 = 4 u + 534
33 u - 4 u = 534 - 12
29 u = 522
1 u = 522 ÷ 29 = 18
Number of less boxes that were painted than not painted on the first day
= 40 u - 4 u
= 36 u
= 36 x 18
= 648
Answer(s): 648