Seth had to paint some containers. On the first day, the number of containers he painted was 25% of the number of containers that he had not painted. One week later, he painted another 51 containers. As a result, the total number of painted containers became 24 more than
12 of the total number of containers. How many less containers were painted than unpainted on the first day?
|
Painted |
Not painted |
Total |
Before
|
1x2 = 2 u |
4x2 = 8 u |
5x2 = 10 u |
Change |
+ 51 |
- 51 |
|
After |
2 u + 51 |
8 u - 51 |
10 u |
Comparing painted and not painted containers in the end |
1x5 + 24 = 5 u + 24 |
1x5 - 24 = 5 u - 24 |
2x5 = 10 u |
25% =
25100 =
14Painted : Not painted = 1 : 4
The total number of containers remains unchanged. Make the total number of containers at first and in the end the same. LCM of 5 and 2 is 10.
The number of containers painted in the end is repeated.
5 u + 24 = 2 u + 51
5 u - 2 u = 51 - 24
3 u = 27
1 u = 27 ÷ 3 = 9
Number of less containers that were painted than not painted on the first day
= 8 u - 2 u
= 6 u
= 6 x 9
= 54
Answer(s): 54