Neave 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 123 boxes. As a result, the total number of painted boxes became 24 more than
34 of the total number of boxes. How many more boxes were unpainted than painted on the first day?
|
Painted |
Not painted |
Total |
Before
|
1x4 = 4 u |
4x4 = 16 u |
5x4 = 20 u |
Change |
+ 123 |
- 123 |
|
After |
4 u + 123 |
16 u - 123 |
20 u |
Comparing painted and not painted boxes in the end |
3x5 + 24 = 15 u + 24 |
1x5 - 24 = 5 u - 24 |
4x5 = 20 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 4 is 20.
The number of boxes painted in the end is repeated.
15 u + 24 = 4 u + 123
15 u - 4 u = 123 - 24
11 u = 99
1 u = 99 ÷ 11 = 9
Number of more boxes that were not painted than painted on the first day
= 16 u - 4 u
= 12 u
= 12 x 9
= 108
Answer(s): 108