SOLUTION: on monday, archie paid $3.40 for three doughnuts and two coffees. On tuesday he paid $3.60 for two doughnuts and three coffees. What was his bill for one doughnut and one coffee?

Question 319419: on monday, archie paid $3.40 for three doughnuts and two coffees. On tuesday he paid $3.60 for two doughnuts and three coffees. What was his bill for one doughnut and one coffee?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
on monday, archie paid $3.40 for three doughnuts and two coffees. On tuesday he paid $3.60 for two doughnuts and three coffees. What was his bill for one doughnut and one coffee?
..
let doughnut cost $x
coffee cost $y
..
Monday equation
1... 3x+2y=3.40
tuesday equation
2... 2x+3y=3.60
multiply eq1 by 2 and eq2 by3 & subtract
..
6x+4y-6x-6y=6.80-7.20
-2y=-0.40
y=0.2 cost of coffee
plug the value of y in eq1
3x+0.40=3.40
3x=3
x=1
Doughnut costs $1 & coffee costs 20 cents

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