Cole had to paint some containers. On the first day, the number of containers he painted was 20% of the number of containers that he had not painted. One week later, he painted another 48 containers. As a result, the total number of painted containers became 14 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
|
1x1 = 1 u |
5x1 = 5 u |
6x1 = 6 u |
Change |
+ 48 |
- 48 |
|
After |
1 u + 48 |
5 u - 48 |
6 u |
Comparing painted and not painted containers in the end |
1x3 + 14 = 3 u + 14 |
1x3 - 14 = 3 u - 14 |
2x3 = 6 u |
20% =
20100 =
15Painted : Not painted = 1 : 5
The total number of containers remains unchanged. Make the total number of containers at first and in the end the same. LCM of 6 and 2 is 6.
The number of containers painted in the end is repeated.
3 u + 14 = 1 u + 48
3 u - 1 u = 48 - 14
2 u = 34
1 u = 34 ÷ 2 = 17
Number of less containers that were painted than not painted on the first day
= 5 u - 1 u
= 4 u
= 4 x 17
= 68
Answer(s): 68