Kylie, Dana and Rachel were playing with beads. Kylie started with 24 beads and in the first game, she won
14 more beads from Dana. In the second game, Kylie lost
58 of her original number of beads to Rachel. Dana lost as many beads as Kylie to Rachel. In the final game, Kylie won
13 of her original number of beads from Dana. All of them ended up with the same number of beads.
- How many beads did Kylie have in the end?
- How many beads did Dana have at first?
|
Kylie |
Dana |
Rachel |
Before |
24 |
|
|
First game |
+ 6 |
- 6 |
|
Second game |
- 15 |
|
+ 15 |
|
|
- 15 |
+ 15 |
Final game |
+ 8 |
- 8 |
|
After |
1 u |
1 u |
1 u |
(a)
Number of beads that Kylie won from Dana
=
14 x 24
= 6
Number of beads that Kylie lost to Rachel
=
58 x 24
= 15
Number of beads that Kylie won from Dana
=
13 x 24
= 8
Number of beads that Kylie had in the end
= 24 + 6 - 15 + 8
= 23
(b)
Number of beads that Dana had at first
= 1 u + 8 + 15 + 6
= 23 + 8 + 15 + 6
= 52
Answer(s): (a) 23 ; (b) 52