George 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 187 containers. As a result, the total number of painted containers became 16 more than
45 of the total number of containers. How many less containers were painted than unpainted on the first day?
|
Painted |
Not painted |
Total |
Before
|
1x5 = 5 u |
5x5 = 25 u |
6x5 = 30 u |
Change |
+ 187 |
- 187 |
|
After |
5 u + 187 |
25 u - 187 |
30 u |
Comparing painted and not painted containers in the end |
4x6 + 16 = 24 u + 16 |
1x6 - 16 = 6 u - 16 |
5x6 = 30 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 5 is 30.
The number of containers painted in the end is repeated.
24 u + 16 = 5 u + 187
24 u - 5 u = 187 - 16
19 u = 171
1 u = 171 ÷ 19 = 9
Number of less containers that were painted than not painted on the first day
= 25 u - 5 u
= 20 u
= 20 x 9
= 180
Answer(s): 180