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gizmo_the_mogwai [7]
3 years ago
5

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?
Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
7 0

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

2x+3y=3.30          ...(i)

Cost of five donuts and two cookies = $4.95

5x+2y=4.95          ...(ii)

Multiply equation (i) by 2.

4x+6y=6.60          ...(iii)

Multiply equation (ii) by 3.

15x+6y=14.85      ...(iv)

Subtracting (iii) from (iv), we get

15x+6y-4x-6y=14.85-6.60

11x=8.25

Divide both sides by 11.

x=\dfrac{8.25}{11}

x=0.75

Therefore, the cost of each donut is $0.75.

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