Question

At Sunrise Donuts you can buy 6 donuts and 2 kolaches for $8.84. One kolache and 4 donuts would cost $5.36. What is the price of one donut at Sunrise Donuts? 

Answer 1

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.

⇒$6x+2y = 8.84$                   .....[1]

It is also given that One kolache and 4 donuts would cost $5.36.

⇒$4x+y = 5.36$                        .....[2]

Multiply equation [2] by 2 to both sides we have;

$8x+2y = 10.72$                     ......[3]

Subtract equation [1] from [3] we have;

$2x = 1.88$    

Divide both sides by 2 we have;

x = $0.94

Therefore, $0.94  is the price of one donut at Sunrise Donuts.