Julian was fixing a jigsaw puzzle. By the fifth day, the number of pieces he fixed was 30% of the number of pieces unfixed. After another 5 days, he fixed another 705 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 |
+ 705 |
- 705 |
|
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 Julian fixed
= 65 u - 18 u
= 47 u
47 u = 705
1 u = 705 ÷ 47 = 15
Number of pieces that were left unfixed
= 13 u
= 13 x 15
= 195
Answer(s): 195