SOLUTION: On Monday, Harold picked up two donuts and six large coffees for the office staff. He paid $6.58. On Tuesday, Melinda picked up six donuts and two large coffees for the offic
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Question 1177331: On Monday, Harold picked up two donuts and six large coffees for the office staff. He paid $6.58. On Tuesday, Melinda picked up six donuts and two large coffees for the office staff. She paid $5.82. What is the cost of one donut? What is the cost of one large coffee?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Let x price of doughnut 0.06
y price of large coffee 0.17
2.00 x + 6.00 y = 6.58
6.00 x + 2.00 y = 5.82 .............2
Eliminate y
multiply (1)by 1.00
Multiply (2) by -3.00
2.00 x 6.00 y = 6.58
-18.00 x -6.00 y = -17.46
Add the two equations
-16.00 x = -10.88
/ -16.00
x = 0.68
plug value of x in (1)
2.00 x + 6.00 y = 6.58
1.36 + 6.00 y = 6.58
6.00 y = 5.22
y = 0.87
Ans x = 0.68
y = 0.87
$0.68 price of doughnut
$0.87 price of large coffee
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