Cody 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 48 boxes. As a result, the total number of painted boxes became 26 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
|
3x5 = 15 u |
10x5 = 50 u |
13x5 = 65 u |
Change |
+ 48 |
- 48 |
|
After |
15 u + 48 |
50 u - 48 |
65 u |
Comparing painted and not painted boxes in the end |
2x13 + 26 = 26 u + 26 |
3x13 - 26 = 39 u - 26 |
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.
26 u + 26 = 15 u + 48
26 u - 15 u = 48 - 26
11 u = 22
1 u = 22 ÷ 11 = 2
Number of less boxes that were painted than not painted on the first day
= 50 u - 15 u
= 35 u
= 35 x 2
= 70
Answer(s): 70