Zane 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 799 boxes. As a result, the total number of painted boxes became 19 more than
45 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 |
+ 799 |
- 799 |
|
After |
5 u + 799 |
50 u - 799 |
55 u |
Comparing painted and not painted boxes in the end |
4x11 + 19 = 44 u + 19 |
1x11 - 19 = 11 u - 19 |
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.
44 u + 19 = 5 u + 799
44 u - 5 u = 799 - 19
39 u = 780
1 u = 780 ÷ 39 = 20
Number of less boxes that were painted than not painted on the first day
= 50 u - 5 u
= 45 u
= 45 x 20
= 900
Answer(s): 900