Owen 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 248 containers. As a result, the total number of painted containers became 26 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
|
3x5 = 15 u |
10x5 = 50 u |
13x5 = 65 u |
Change |
+ 248 |
- 248 |
|
After |
15 u + 248 |
50 u - 248 |
65 u |
Comparing painted and not painted containers in the end |
4x13 + 26 = 52 u + 26 |
1x13 - 26 = 13 u - 26 |
5x13 = 65 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 5 is 65.
The number of containers painted in the end is repeated.
52 u + 26 = 15 u + 248
52 u - 15 u = 248 - 26
37 u = 222
1 u = 222 ÷ 37 = 6
Number of less containers that were painted than not painted on the first day
= 50 u - 15 u
= 35 u
= 35 x 6
= 210
Answer(s): 210