Simon was fixing a jigsaw puzzle. By the second day, the number of pieces he fixed was 20% of the number of pieces unfixed. After another 9 days, he fixed another 57 pieces and the number of unfixed pieces he was left with was 25% of the number of pieces fixed. How many pieces were left unfixed?
| |
Fixed |
Unfixed |
Total |
| Before |
1x5 =
5 u |
5x5 =
25 u |
6x5 =
30 u |
| Change |
+ 57 |
- 57 |
|
| After |
4x6 =
24 u |
1x6 =
6 u |
5x6 =
30 u |
20% =
20100 =
15 25% =
20100 =
14 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 5 is 30.
Number of additional pieces of jigsaw puzzle that Simon fixed
= 24 u - 5 u
= 19 u
19 u = 57
1 u = 57 ÷ 19 = 3
Number of pieces that were left unfixed
= 6 u
= 6 x 3
= 18
Answer(s): 18
