Liam was fixing a jigsaw puzzle. By the second day, the number of pieces he fixed was 25% of the number of pieces unfixed. After another 5 days, he fixed another 259 pieces and the number of unfixed pieces he was left with was 30% of the number of pieces fixed. How many pieces were left unfixed?
| |
Fixed |
Unfixed |
Total |
| Before |
1x13 =
13 u |
4x13 =
52 u |
5x13 =
65 u |
| Change |
+ 259 |
- 259 |
|
| After |
10x5 =
50 u |
3x5 =
15 u |
13x5 =
65 u |
25% =
25100 =
14 30% =
25100 =
310 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 5 and 13 is 65.
Number of additional pieces of jigsaw puzzle that Liam fixed
= 50 u - 13 u
= 37 u
37 u = 259
1 u = 259 ÷ 37 = 7
Number of pieces that were left unfixed
= 15 u
= 15 x 7
= 105
Answer(s): 105
