Malavika visits an entertainment fair in Zedland where various gaming companies have set up their stalls with lots of games. Guidelines at the entertainment fair are as follows:
I. There is only one cash counter, which is located near the entrance to the fair. II. No cash transaction is allowed at any stall. Players can pay for the games using Gold cards (worth 20 zeds) or Silver cards (worth 10 zeds). III. Players can purchase the cards (as many as they want) only from the cash counter. IV. A player can use either a Silver card or a Gold card to play any game once. V. If a player wins a game played using a Silver card, the Silver card will be replaced with a Gold card. VI. If a player wins a game played using a Gold card, the Gold card will be returned to the player and a new Silver card will be given as a reward. Both the Gold and Silver cards can be used for further games. VII. However, if the player loses a game, the card used for the game will be forfeited. VIII. Players can obtain cash refund for their cards at the cash counter. The refund value of a Silver card is 8 zeds and that of a Gold card is 18 zeds.
Malavika paid 30 zeds and bought one Gold card and one Silver card. She used both the cards in the first stall and won both the games. She did not want to repeat playing in the same stall. She took all the cards she got from the first stall and used them in the second stall. She won all the games in the second stall too. She again took all the cards she got from there and used all of them in the third stall. She continued this in the subsequent stalls.
Question 16 If Malavika won every game she played, the number of cards of each type she will have with her when she comes out from the third stall are a) 5 Gold and 3 Silver cards b) 3 Gold and 3 Silver cards c) 5 Gold and 2 Silver cards d) 3 Gold and 5 Silver cards
Answers
ENTERTAINMENT FAIR
a) 5 Gold and 3 Silver cards
Step-by-step explanation:
We need to remember two points:
- Play with a Gold card -- if won -- get the Gold card + 1 Silver card
- Play with a Silver card -- if won - get a Gold card
Solution:
- Malavika bought two cards using 30 zeds.
- 1 Gold card & 1 Silver card.
Stall 1.
- Cards -- 1 Gold & 1 Silver.
- Wins!
- Rewards: a. Gold card win -- 1 Gold card + 1 Silver card, b. Silver card win -- 1 Gold card.
- Total cards -- 2 Gold cards & 1 Silver card.
Stall 2.
- Cards -- 2 Gold cards & 1 Silver card.
- Wins!
- Rewards: a. Gold card win -- 2 Gold cards + 2 Silver card, b. Silver card win -- 1 Gold card.
- Total cards -- 3 Gold cards & 2 Silver card.
Stall 3.
- Cards -- 3 Gold cards & 2 Silver card.
- Wins!
- Rewards: a. Gold card win -- 3 Gold cards + 3 Silver cards, b. Silver card win -- 2 Gold cards.
- Total cards -- 5 Gold cards & 3 Silver cards.
Answer: If Malavika won every game she played, the number of cards of each type she will have with her when she
comes out from the third stall are
a) 5 Gold and 3 Silver cards.
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If Malavika won every game she played, the number of cards of each type she will have with her when she comes out from the third stall are
a) 5 Gold and 3 Silver cards
b) 3 Gold and 3 Silver cards
c) 5 Gold and 2 Silver cards
d) 3 Gold and 5 Silver cards
- https://brainly.in/question/16918045
A. 5 golds and 3 silver.
Step-by-step explanation:
Given:
Winning with gold card winner will get the Gold card + 1 Silver card And winning with the silver card will be rewarded with the exchange with gold card.
Solution:
Malavika started with 1 Gold card & 1 Silver card.
At first Stall, she won the game each time with both the cards this will lead to =
1 Gold card + 1 Silver card by winning with gold card and 1 Gold card by winning with silver card
Total cards -- 2 Gold cards & 1 Silver card.
Stall 2.
Cards she have = 2 Gold cards & 1 Silver card.
As she won every game so, Gold card win -- 2 × reward = 2 Gold cards + 2 Silver card, and silver card = 1 Gold card.
Total cards -- 3 Gold cards & 2 Silver card.
Stall 3.
Cards she have now 3 Gold cards & 2 Silver card.
again won now with gold card she rewarded with = 3 × reward = 3 gold card + 3 silver and by silver card she get = 2 gold cards.
Now she has 3 gold + 2 gold and 3 silver.