SOLUTION: Hello, Can someone please help me with this math I am having a hard time with it. it is from College Algebra book. Can you please explain how you got the answers for each quest

Question 150397This question is from textbook College Algebra
: Hello,
Can someone please help me with this math I am having a hard time with it.
it is from College Algebra book. Can you please explain how you got the answers for each question too so I can have a better understanding of the math.
Thank you,
Droxygirl1001

Problem: The students from algebra class go for coffee together every day at 9:00 AM. On Monday, Jordan paid $5.45 for three cartons of milk, four cups of coffee, and seven doughnuts. On Tuesday, Ryan paid $5.30 for four milks, two coffees, and eight doughnuts. On Wednesday, Zack paid $5.15 for two milks, five coffees, and six doughnuts.
(1) Set up a system of equations to model this scenario.
(2) Determine the cost of one carton milk, one coffee, and one doughnut by solving the system.
(3) If on Thursday, Taylor had to pay for five milks, two coffees and nine doughnuts, then how much did he spend?
This question is from textbook College Algebra

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The students from algebra class go for coffee together every day at 9:00 AM.
On Monday, Jordan paid $5.45 for three cartons of milk, four cups of coffee, and seven doughnuts.
3M + 4C + 7D = 545
------------------------
On Tuesday, Ryan paid $5.30 for four milks, two coffees, and eight doughnuts.
4M + 2C + 8D = 530
-----------------------
On Wednesday, Zack paid $5.15 for two milks, five coffees, and six doughnuts.
2M + 5C + 6D = 515

(1) Set up a system of equations to model this scenario.
The system of three equations by any means you know to get:
M = $0.40
C = $0.45
D = $0.35

(2) Determine the cost of one carton milk, one coffee, and one doughnut by solving the system.
Solved above
-----------------------------
(3) If on Thursday, Taylor had to pay for five milks, two coffees and nine doughnuts, then how much did he spend?
5M+2C+9D = 5*40 + 2*45 + 9*35 = $6.05
==========================================
Cheers,
Stan H.

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