Seth 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 306 containers. As a result, the total number of painted containers became 26 more than
35 of the total number of containers. How many more containers were unpainted than painted on the first day?
|
Painted |
Not painted |
Total |
Before
|
1x5 = 5 u |
10x5 = 50 u |
11x5 = 55 u |
Change |
+ 306 |
- 306 |
|
After |
5 u + 306 |
50 u - 306 |
55 u |
Comparing painted and not painted containers in the end |
3x11 + 26 = 33 u + 26 |
2x11 - 26 = 22 u - 26 |
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.
33 u + 26 = 5 u + 306
33 u - 5 u = 306 - 26
28 u = 280
1 u = 280 ÷ 28 = 10
Number of more containers that were not painted than painted on the first day
= 50 u - 5 u
= 45 u
= 45 x 10
= 450
Answer(s): 450