Oscar and Warren had 64 beads in total. Warren had 16 beads more than Oscar at first. After Oscar and Warren played a game with Kylie, Oscar had
15 as many beads as Warren. If Oscar lost as many beads as Warren to Kylie, find the number of beads that Oscar lost to Kylie.
|
Oscar |
Warren |
Difference |
Before |
1 u |
1 u + 16 |
16 |
Change |
- ? |
- ? |
|
After |
1 p |
5 p |
4 p |
Total number of beads at first
= 1 u + 1 u + 16
= 2 u + 16
2 u + 16 = 64
2 u = 64 - 16
2 u = 48
1 u = 48 ÷ 2 = 24
Since Oscar lost the same number of beads as Warren, the difference in the number of beads between Oscar and Warren 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 = 16
1 p = 16 ÷ 4 = 4
Number of beads that Oscar lost to Kylie
= 1 u - 1 p
= 24 - 1 x 4
= 24 - 4
= 20
Answer(s): 20