SOLUTION: On Tuesday, Wendy picked up three doughnuts and four large coffees for the backroom staff; she paid $4.91. On Thursday Bruce picked up five doughnuts and six large coffees for the

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Question 578644: On Tuesday, Wendy picked up three doughnuts and four large coffees for the backroom staff; she paid $4.91. On Thursday Bruce picked up five doughnuts and six large coffees for the same group; he paid $7.59. What the cost of one doughnut, and of one large coffee?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = cost of 1 donut
Let = cost of 1 lg coffee
given:
(1) ( in cents )
(2) ( in cents )
Multiply both sides of (1) by
Multiply both sides of (2) by
and subtract (2) from (1)
(1)
(2)


Plug this back into (1)
(1)
(1)
(1)
(1)
One donut costs 45 cents
One lg coffee cost 89 cents
check:
(2)
(2)
(2)
OK

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