Bobby had to paint some containers. On the first day, the number of containers he painted was 10% of the number of containers that he had not painted. One week later, he painted another 258 containers. As a result, the total number of painted containers became 20 more than
25 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 |
10x5 = 50 u |
11x5 = 55 u |
Change |
+ 258 |
- 258 |
|
After |
5 u + 258 |
50 u - 258 |
55 u |
Comparing painted and not painted containers in the end |
2x11 + 20 = 22 u + 20 |
3x11 - 20 = 33 u - 20 |
5x11 = 55 u |
10% =
10100 =
110Painted : Not painted = 1 : 10
The total number of containers remains unchanged. Make the total number of containers at first and in the end the same. LCM of 11 and 5 is 55.
The number of containers painted in the end is repeated.
22 u + 20 = 5 u + 258
22 u - 5 u = 258 - 20
17 u = 238
1 u = 238 ÷ 17 = 14
Number of less containers that were painted than not painted on the first day
= 50 u - 5 u
= 45 u
= 45 x 14
= 630
Answer(s): 630