Jeremy and Asher had 104 beads in total. Jeremy had 36 beads less than Asher at first. After Jeremy and Asher played a game with Tammy, Jeremy had
15 as many beads as Asher. If Jeremy lost as many beads as Asher to Tammy, find the number of beads that Asher lost to Tammy.
|
Jeremy |
Asher |
Difference |
Before |
1 u |
1 u + 36 |
36 |
Change |
- ? |
- ? |
|
After |
1 p |
5 p |
4 p |
Total number of beads at first
= 1 u + 1 u + 36
= 2 u + 36
2 u + 36 = 104
2 u = 104 - 36
2 u = 68
1 u = 68 ÷ 2 = 34
Since Jeremy lost the same number of beads as Asher, the difference in the number of beads between Jeremy and Asher at first and in the end remains the same.
Difference in the number of beads in the end
= 5 p - 1 p
= 4 p
4 p = 36
1 p = 36 ÷ 4 = 9
Number of beads that Jeremy lost to Tammy
= 1 u - 1 p
= 34 - 1 x 9
= 34 - 9
= 25
Since Asher lost the same number of beads as Jeremy, the number of beads that each lost to Tammy is the same.
Number of beads that Asher lost = 25
Answer(s): 25