Tim was fixing a jigsaw puzzle. By the fourth day, the number of pieces he fixed was 10% of the number of pieces unfixed. After another 6 days, he fixed another 273 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 |
10x5 = 50 u |
11x5 = 55 u |
Change |
+ 273 |
- 273 |
|
After |
4x11 = 44 u |
1x11 = 11 u |
5x11 = 55 u |
10% =
10100 =
110 25% =
10100 =
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 11 and 5 is 55.
Number of additional pieces of jigsaw puzzle that Tim fixed
= 44 u - 5 u
= 39 u
39 u = 273
1 u = 273 ÷ 39 = 7
Number of pieces that were left unfixed
= 11 u
= 11 x 7
= 77
Answer(s): 77