Sean was fixing a jigsaw puzzle. By the fifth day, the number of pieces he fixed was 20% of the number of pieces unfixed. After another 6 days, he fixed another 799 pieces and the number of unfixed pieces he was left with was 30% of the number of pieces fixed. How many pieces were left unfixed?
| |
Fixed |
Unfixed |
Total |
| Before |
1x13 =
13 u |
5x13 =
65 u |
6x13 =
78 u |
| Change |
+ 799 |
- 799 |
|
| After |
10x6 =
60 u |
3x6 =
18 u |
13x6 =
78 u |
20% =
20100 =
15 30% =
20100 =
310 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 6 and 13 is 78.
Number of additional pieces of jigsaw puzzle that Sean fixed
= 60 u - 13 u
= 47 u
47 u = 799
1 u = 799 ÷ 47 = 17
Number of pieces that were left unfixed
= 18 u
= 18 x 17
= 306
Answer(s): 306
