SOLUTION: Roman, Bob and Roger buy red and green marbles. Red and green marbles don’t have the same price. Roman pays 70 ¢ for four red marbles and two green marbles. Bob pays 95 ¢ for two r

Algebra.Com
Question 296592: Roman, Bob and Roger buy red and green marbles. Red and green marbles don’t have the same price. Roman pays 70 ¢ for four red marbles and two green marbles. Bob pays 95 ¢ for two red marbles and five green marbles. How much will Roger pay if he buys one red marble and one green marble?

Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
Roman, Bob and Roger buy red and green marbles. Red and green marbles don’t have the same price. Roman pays 70 ¢ for four red marbles and two green marbles. Bob pays 95 ¢ for two red marbles and five green marbles. How much will Roger pay if he buys one red marble and one green marble?

let each red marble cost x
let each green marble cost y
4x+2y=70
2x+5y=95
4x+2y -2(2x+5y)=70-190
4x+2y-4x-10y = -120
-8y= -120
y=-120/-8
y=15 green marble
4x+2*15=70
4x+30=70
4x=40
x=10 red marble
1 red &1 green will cost 25 cents


RELATED QUESTIONS

A box holds 9 green marbles, 8 red marbles, and 7 blue marbles. Whats the probability of... (answered by checkley75)
Find the probability of selecting a green marble from a jar that contains four blue... (answered by Fombitz)
A box contain five red marbles, 5 green marbles and four blue marbles. What is the... (answered by stanbon)
A box contains some green marbles and exactly four red marbles. The probability of... (answered by stanbon)
A bag contains 5 blue marbles, 6 red marbles, and 9 green marbles. Two marbles are drawn... (answered by stanbon)
A bag contains five red marbles, three green marbles, and four blue marbles. How many... (answered by Theo)
these are 9 blue marbles ,6 red marbles, and 5 green marbles in a bag (answered by ikleyn,Alan3354)
A certain jar consists of seven green marbles, five black and four red marbles. If... (answered by stanbon)
A certain jar consists of seven green marbles, five black and four red marbles. If... (answered by stanbon)