Zeph 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 266 containers. As a result, the total number of painted containers became 23 more than
34 of the total number of containers. How many less containers were painted than unpainted on the first day?
|
Painted |
Not painted |
Total |
Before
|
3x4 = 12 u |
10x4 = 40 u |
13x4 = 52 u |
Change |
+ 266 |
- 266 |
|
After |
12 u + 266 |
40 u - 266 |
52 u |
Comparing painted and not painted containers in the end |
3x13 + 23 = 39 u + 23 |
1x13 - 23 = 13 u - 23 |
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 + 23 = 12 u + 266
39 u - 12 u = 266 - 23
27 u = 243
1 u = 243 ÷ 27 = 9
Number of less containers that were painted than not painted on the first day
= 40 u - 12 u
= 28 u
= 28 x 9
= 252
Answer(s): 252