Perry had
58 the number of beads that Zane had at first. After Zane gave Perry 77 of his beads, Perry had
45 the number of beads that Zane had. How many beads did Perry have at first?
|
Perry |
Zane |
Total |
Before |
5x9 = 45 u |
8x9 = 72 u |
13x9 = 117 u |
Change |
+ 7 u |
- 7 u |
|
After |
4x13 = 52 u |
5x13 = 65 u |
9x13 = 117 u |
The total number of beads that Perry and Zane had at first and in the end remains unchanged. Make the total number of beads the same. LCM of 13 and 9 is 117.
Number of beads that Zane gave Perry
= 52 u - 45 u
= 7 u
7 u = 77
1 u = 77 ÷ 7 = 11
Number of beads that Perry had at first
= 45 u
= 45 x 11
= 495
Answer(s): 495