Archie had to paint some boxes. On the first day, the number of boxes he painted was 40% of the number of boxes that he had not painted. One week later, he painted another 354 boxes. As a result, the total number of painted boxes became 12 more than
45 of the total number of boxes. How many more boxes were unpainted than painted on the first day?
|
Painted |
Not painted |
Total |
Before
|
2x5 = 10 u |
5x5 = 25 u |
7x5 = 35 u |
Change |
+ 354 |
- 354 |
|
After |
10 u + 354 |
25 u - 354 |
35 u |
Comparing painted and not painted boxes in the end |
4x7 + 12 = 28 u + 12 |
1x7 - 12 = 7 u - 12 |
5x7 = 35 u |
40% =
40100 =
25Painted : Not painted = 2 : 5
The total number of boxes remains unchanged. Make the total number of boxes at first and in the end the same. LCM of 7 and 5 is 35.
The number of boxes painted in the end is repeated.
28 u + 12 = 10 u + 354
28 u - 10 u = 354 - 12
18 u = 342
1 u = 342 ÷ 18 = 19
Number of more boxes that were not painted than painted on the first day
= 25 u - 10 u
= 15 u
= 15 x 19
= 285
Answer(s): 285