Archie had to paint some containers. On the first day, the number of containers he painted was 30% of the number of containers that he had not painted. One week later, he painted another 43 containers. As a result, the total number of painted containers became 22 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
|
3x2 = 6 u |
10x2 = 20 u |
13x2 = 26 u |
Change |
+ 43 |
- 43 |
|
After |
6 u + 43 |
20 u - 43 |
26 u |
Comparing painted and not painted containers in the end |
1x13 + 22 = 13 u + 22 |
1x13 - 22 = 13 u - 22 |
2x13 = 26 u |
30% =
30100 =
310Painted : Not painted = 3 : 10
The total number of containers remains unchanged. Make the total number of containers at first and in the end the same. LCM of 13 and 2 is 26.
The number of containers painted in the end is repeated.
13 u + 22 = 6 u + 43
13 u - 6 u = 43 - 22
7 u = 21
1 u = 21 ÷ 7 = 3
Number of less containers that were painted than not painted on the first day
= 20 u - 6 u
= 14 u
= 14 x 3
= 42
Answer(s): 42