Zara, Pamela and Shannon were playing with beads. Zara started with 21 beads and in the first game, she won
23 more beads from Pamela. In the second game, Zara lost
67 of her original number of beads to Shannon. Pamela lost as many beads as Zara to Shannon. In the final game, Zara won
13 of her original number of beads from Pamela. All of them ended up with the same number of beads.
- How many beads did Zara have in the end?
- How many beads did Pamela have at first?
|
Zara |
Pamela |
Shannon |
Before |
21 |
|
|
First game |
+ 14 |
- 14 |
|
Second game |
- 18 |
|
+ 18 |
|
|
- 18 |
+ 18 |
Final game |
+ 7 |
- 7 |
|
After |
1 u |
1 u |
1 u |
(a)
Number of beads that Zara won from Pamela
=
23 x 21
= 14
Number of beads that Zara lost to Shannon
=
67 x 21
= 18
Number of beads that Zara won from Pamela
=
13 x 21
= 7
Number of beads that Zara had in the end
= 21 + 14 - 18 + 7
= 24
(b)
Number of beads that Pamela had at first
= 1 u + 7 + 18 + 14
= 24 + 7 + 18 + 14
= 63
Answer(s): (a) 24 ; (b) 63