Nick 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 616 containers. As a result, the total number of painted containers became 24 more than
45 of the total number of containers. How many more containers were unpainted than painted on the first day?
|
Painted |
Not painted |
Total |
Before
|
3x5 = 15 u |
10x5 = 50 u |
13x5 = 65 u |
Change |
+ 616 |
- 616 |
|
After |
15 u + 616 |
50 u - 616 |
65 u |
Comparing painted and not painted containers in the end |
4x13 + 24 = 52 u + 24 |
1x13 - 24 = 13 u - 24 |
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 + 24 = 15 u + 616
52 u - 15 u = 616 - 24
37 u = 592
1 u = 592 ÷ 37 = 16
Number of more containers that were not painted than painted on the first day
= 50 u - 15 u
= 35 u
= 35 x 16
= 560
Answer(s): 560