Answer:
$0.94 is the price of one donut at Sunrise Donuts
Step-by-step explanation:
Let x be the price of one donuts and y be the price of one kolaches.
As per the statement:
At Sunrise Donuts you can buy 6 donuts and 2 kolaches for $8.84.
⇒[tex]6x+2y = 8.84[/tex] .....[1]
It is also given that One kolache and 4 donuts would cost $5.36.
⇒[tex]4x+y = 5.36[/tex] .....[2]
Multiply equation [2] by 2 to both sides we have;
[tex]8x+2y = 10.72[/tex] ......[3]
Subtract equation [1] from [3] we have;
[tex]2x = 1.88[/tex]
Divide both sides by 2 we have;
x = $0.94
Therefore, $0.94 is the price of one donut at Sunrise Donuts.
An equation is formed of two equal expressions. The price of one doughnut is $0.94. The price of a single kolache is $1.36.
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The price of 6 doughnuts and 2 kolaches is $8.84. while the cost of One kolache and 4 doughnuts would cost $5.36.
If we represent doughnuts by x, and Kolache by y, then the two-equation for the total cost can be written as,
[tex]6x+2y=8.84\\4x+y=5.36[/tex]
Solving the second equation for the value of y,
[tex]4x+y=5.36\\y=5.36-4x[/tex]
Substitute the value of y in the first equation,
[tex]6x+2y=8.84\\\\6x+2(5.36-4x)=8.84\\\\6x+10.72-8x=8.84\\\\x = 0.94[/tex]
Thus, the price of one doughnut is $0.94.
Substitute the value of x in any one of the equations,
[tex]4x+y=5.36\\\\y=1.36[/tex]
Thus, the price of a single kolache is $1.36.
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