SOLUTION: Two boys trading baseball cards agree that 6 Will Clark cards and 3 Jose Canseco cards are worth the same to them as 2 Nolan Ryan cards. They also agree that 9 Canseco cards are w

Question 58918: Two boys trading baseball cards agree that 6 Will Clark cards and 3 Jose Canseco cards are worth the same to them as 2 Nolan Ryan cards. They also agree that 9 Canseco cards are worth the same as 12 Clark cards plus 2 Ryan cards. How many Canseco cards have the same value to them as 2 Ryan cards.
Can someone help me set this one up and solve it? Thank you.
Answer by uma(370) (Show Source): You can put this solution on YOUR website!
Let W be Will Clark cards , J be Jose Canseco cards and N be Nolan Ryan cards
Given that 6W + 3J = 2N ----------(1)
and 12W + 2N = 9J ----------------(2)
multiplying (1) by 2 gives 12W + 6J = 4N -----------------(3)
12W - 9J = - 2N ---------------(2) rearranged
Subtracting the above two equations we have, 6J + 9J = 4N + 2N
==> 15J = 6N
==> 5J = 2N [Dividing both the sides by 3]
Therefore 2 Ryan cards = 5 Canseco cards
RELATED QUESTIONS
Two boys trading baseball cards agree that 6 Will Clark cards and 3 Jose Canseco cards... (answered by 303795)

Eleanor has more than twice as many football trading cards as Jose. Eleanor has 79... (answered by CubeyThePenguin)

here's quite a pile of playing cards sitting at my house a discovery I have made is as... (answered by richwmiller)

There is quite a pile of playing cards sitting at my house. A discovery I have made is... (answered by Glaviolette)

Craig has 7 times as many baseball cards as Juan. If Craig gives 18 baseball cards to... (answered by ikleyn,greenestamps)

Please help me with this: Luisa and Rachel have some trading cards. The ratio of their... (answered by josmiceli)

A certain deck of cards contains 2 blue cards, 2 red cards, 2 yellow cards, and 2 green... (answered by Fombitz)

You are dealt 2 cards from a shuffled deck of 52 cards, without replacement. There are... (answered by sudhanshu_kmr,ewatrrr)

Nancy has fewer than 29 baseball cards if you put all the cards in 3 plies that are the... (answered by mathmandotcom)