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

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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) About Me  (Show Source):
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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