Seth had to paint some boxes. On the first day, the number of boxes he painted was 25% of the number of boxes that he had not painted. One week later, he painted another 59 boxes. As a result, the total number of painted boxes became 14 more than
12 of the total number of boxes. How many more boxes were unpainted than painted on the first day?
|
Painted |
Not painted |
Total |
Before
|
1x2 = 2 u |
4x2 = 8 u |
5x2 = 10 u |
Change |
+ 59 |
- 59 |
|
After |
2 u + 59 |
8 u - 59 |
10 u |
Comparing painted and not painted boxes in the end |
1x5 + 14 = 5 u + 14 |
1x5 - 14 = 5 u - 14 |
2x5 = 10 u |
25% =
25100 =
14Painted : Not painted = 1 : 4
The total number of boxes remains unchanged. Make the total number of boxes at first and in the end the same. LCM of 5 and 2 is 10.
The number of boxes painted in the end is repeated.
5 u + 14 = 2 u + 59
5 u - 2 u = 59 - 14
3 u = 45
1 u = 45 ÷ 3 = 15
Number of more boxes that were not painted than painted on the first day
= 8 u - 2 u
= 6 u
= 6 x 15
= 90
Answer(s): 90