George was fixing a jigsaw puzzle. By the fourth day, the number of pieces he fixed was 30% of the number of pieces unfixed. After another 4 days, he fixed another 893 pieces and the number of unfixed pieces he was left with was 20% of the number of pieces fixed. How many pieces were left unfixed?
| |
Fixed |
Unfixed |
Total |
| Before |
3x6 =
18 u |
10x6 =
60 u |
13x6 =
78 u |
| Change |
+ 893 |
- 893 |
|
| After |
5x13 =
65 u |
1x13 =
13 u |
6x13 =
78 u |
30% =
30100 =
310 20% =
30100 =
15 Since this is a jigsaw puzzle, there is no change in the total number of jigsaw pieces. Make the total number of jigsaw pieces the same. LCM of 13 and 6 is 78.
Number of additional pieces of jigsaw puzzle that George fixed
= 65 u - 18 u
= 47 u
47 u = 893
1 u = 893 ÷ 47 = 19
Number of pieces that were left unfixed
= 13 u
= 13 x 19
= 247
Answer(s): 247
