Ivan 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 169 containers. As a result, the total number of painted containers became 16 more than
25 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 |
+ 169 |
- 169 |
|
After |
5 u + 169 |
50 u - 169 |
55 u |
Comparing painted and not painted containers in the end |
2x11 + 16 = 22 u + 16 |
3x11 - 16 = 33 u - 16 |
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 + 16 = 5 u + 169
22 u - 5 u = 169 - 16
17 u = 153
1 u = 153 ÷ 17 = 9
Number of more containers that were not painted than painted on the first day
= 50 u - 5 u
= 45 u
= 45 x 9
= 405
Answer(s): 405