Alexandra purchases two donuts and three cookies at the donut shop and it's charged $3.30. Brianna purchases five donuts and two cookies at the same shop for $4.95. All the donuts have the same price and all the cookies have the same price. What is the cost in dollars of each donut?

Given:

Cost of two donuts and three cookies = $3.30

Cost of five donuts and two cookies = $4.95

To find:

The cost of each donut.

Solution:

Let x be the cost of each donut and y be the cost of each cookie.

Cost of two donuts and three cookies = $3.30

         ...(i)

Cost of five donuts and two cookies = $4.95

         ...(ii)

Multiply equation (i) by 2.

         ...(iii)

Multiply equation (ii) by 3.

     ...(iv)

Subtracting (iii) from (iv), we get

Divide both sides by 11.

Therefore, the cost of each donut is $0.75.

when studying polynomials, you often hear the terms zeros, roots, factors and x x the multiplicity of a zero is important because it tells us how the graph of the let's look at the graph of a function that has the same zeros

step-by-step explanation:

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step-by-step explanation: