Owen was fixing a jigsaw puzzle. By the third day, the number of pieces he fixed was 10% of the number of pieces unfixed. After another 4 days, he fixed another 98 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 |
1x6 = 6 u |
10x6 = 60 u |
11x6 = 66 u |
Change |
+ 98 |
- 98 |
|
After |
5x11 = 55 u |
1x11 = 11 u |
6x11 = 66 u |
10% =
10100 =
110 20% =
10100 =
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 11 and 6 is 66.
Number of additional pieces of jigsaw puzzle that Owen fixed
= 55 u - 6 u
= 49 u
49 u = 98
1 u = 98 ÷ 49 = 2
Number of pieces that were left unfixed
= 11 u
= 11 x 2
= 22
Answer(s): 22