Tim 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 68 containers. As a result, the total number of painted containers became 24 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
|
2x5 = 10 u |
5x5 = 25 u |
7x5 = 35 u |
Change |
+ 68 |
- 68 |
|
After |
10 u + 68 |
25 u - 68 |
35 u |
Comparing painted and not painted containers in the end |
3x7 + 24 = 21 u + 24 |
2x7 - 24 = 14 u - 24 |
5x7 = 35 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 5 is 35.
The number of containers painted in the end is repeated.
21 u + 24 = 10 u + 68
21 u - 10 u = 68 - 24
11 u = 44
1 u = 44 ÷ 11 = 4
Number of more containers that were not painted than painted on the first day
= 25 u - 10 u
= 15 u
= 15 x 4
= 60
Answer(s): 60