Peter 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 92 containers. As a result, the total number of painted containers became 11 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
|
3x4 = 12 u |
10x4 = 40 u |
13x4 = 52 u |
Change |
+ 92 |
- 92 |
|
After |
12 u + 92 |
40 u - 92 |
52 u |
Comparing painted and not painted containers in the end |
3x13 + 11 = 39 u + 11 |
1x13 - 11 = 13 u - 11 |
4x13 = 52 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 4 is 52.
The number of containers painted in the end is repeated.
39 u + 11 = 12 u + 92
39 u - 12 u = 92 - 11
27 u = 81
1 u = 81 ÷ 27 = 3
Number of more containers that were not painted than painted on the first day
= 40 u - 12 u
= 28 u
= 28 x 3
= 84
Answer(s): 84