Sam was fixing a jigsaw puzzle. By the third day, the number of pieces he fixed was 20% of the number of pieces unfixed. After another 3 days, he fixed another 95 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 |
+ 95 |
- 95 |
|
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 Sam fixed
= 24 u - 5 u
= 19 u
19 u = 95
1 u = 95 ÷ 19 = 5
Number of pieces that were left unfixed
= 6 u
= 6 x 5
= 30
Answer(s): 30