Jenson had to paint some containers. On the first day, the number of containers he painted was 40% of the number of containers that he had not painted. One week later, he painted another 234 containers. As a result, the total number of painted containers became 13 more than
34 of the total number of containers. How many more containers were unpainted than painted on the first day?
|
Painted |
Not painted |
Total |
Before
|
2x4 = 8 u |
5x4 = 20 u |
7x4 = 28 u |
Change |
+ 234 |
- 234 |
|
After |
8 u + 234 |
20 u - 234 |
28 u |
Comparing painted and not painted containers in the end |
3x7 + 13 = 21 u + 13 |
1x7 - 13 = 7 u - 13 |
4x7 = 28 u |
40% =
40100 =
25Painted : Not painted = 2 : 5
The total number of containers remains unchanged. Make the total number of containers at first and in the end the same. LCM of 7 and 4 is 28.
The number of containers painted in the end is repeated.
21 u + 13 = 8 u + 234
21 u - 8 u = 234 - 13
13 u = 221
1 u = 221 ÷ 13 = 17
Number of more containers that were not painted than painted on the first day
= 20 u - 8 u
= 12 u
= 12 x 17
= 204
Answer(s): 204