Rael 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 52 boxes. As a result, the total number of painted boxes became 18 more than
25 of the total number of boxes. How many less boxes were painted than unpainted on the first day?
|
Painted |
Not painted |
Total |
Before
|
1x5 = 5 u |
10x5 = 50 u |
11x5 = 55 u |
Change |
+ 52 |
- 52 |
|
After |
5 u + 52 |
50 u - 52 |
55 u |
Comparing painted and not painted boxes in the end |
2x11 + 18 = 22 u + 18 |
3x11 - 18 = 33 u - 18 |
5x11 = 55 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 5 is 55.
The number of boxes painted in the end is repeated.
22 u + 18 = 5 u + 52
22 u - 5 u = 52 - 18
17 u = 34
1 u = 34 ÷ 17 = 2
Number of less boxes that were painted than not painted on the first day
= 50 u - 5 u
= 45 u
= 45 x 2
= 90
Answer(s): 90