SOLUTION: Hellllllpppppppp On Monday, Archie paid $2.54 for three doughnuts and two coffees. On Tuesday he paid $2.46 for two doughnuts and three coffees. On Wednesday he was tired of pay

Algebra.Com
Question 25766: Hellllllpppppppp
On Monday, Archie paid $2.54 for three doughnuts and two coffees. On Tuesday he paid $2.46 for two doughnuts and three coffees. On Wednesday he was tired of paying the tab and went out for coffeeby himself. What was his bil for one doughnut and one coffee

Answer by Paul(988)   (Show Source): You can put this solution on YOUR website!
Let the amount of coffe be x
Let the amount of donuts be y
Now 3 donuts and 2 coffe cost 2.54
Expression: 3y+2x=2.54
Solve for x
2x=2.54-3y
x=1.27-1.5y (subsitution)

Now 2 donuts (y) and 3 coffee (x) cost 2.46
2y+3x=2.46
Subsitute
2y+3(1.27-1.5y)=2.46
2y-4.5y+3.81=2.46
-2.5y=-1.35
y=0.54

x=1.25-1.5(0.54)
x=0.44

Hence, a coffee cost about $0.54, and a donut costs $0.44
Paul.

RELATED QUESTIONS

on monday, archie paid $3.40 for three doughnuts and two coffees. On tuesday he paid... (answered by mananth)
Write a system of two equations in two unknowns. On Monday, Archie paid $3.40 for three... (answered by Cromlix)
Problem: The students from algebra class go for coffee together every day at 9:00 AM. On (answered by mangopeeler07)
Hello, Can someone please help me with this math I am having a hard time with it. it... (answered by stanbon)
Systems of Equations and Inequalities i) Problem: The students from algebra class go for (answered by stanbon)
On Monday, Herold picked up three doughnuts and four large coffees for the office staff. (answered by gsmani_iyer)
Hello E-Tutors:) Could someone lead me in the right direction with this college... (answered by stanbon)
On monday Harold picked up three donuts and six large coffees for the office staff. He... (answered by josgarithmetic)
On​ Monday, Luis picked up seven scones and two large coffees for the office staff. (answered by josgarithmetic)