Gabriel 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 89 containers. As a result, the total number of painted containers became 17 more than
35 of the total number of containers. How many less containers were painted than unpainted on the first day?
|
Painted |
Not painted |
Total |
Before
|
3x5 = 15 u |
10x5 = 50 u |
13x5 = 65 u |
Change |
+ 89 |
- 89 |
|
After |
15 u + 89 |
50 u - 89 |
65 u |
Comparing painted and not painted containers in the end |
3x13 + 17 = 39 u + 17 |
2x13 - 17 = 26 u - 17 |
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.
39 u + 17 = 15 u + 89
39 u - 15 u = 89 - 17
24 u = 72
1 u = 72 ÷ 24 = 3
Number of less containers that were painted than not painted on the first day
= 50 u - 15 u
= 35 u
= 35 x 3
= 105
Answer(s): 105