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
[tex]2x+3y=3.30[/tex] ...(i)
Cost of five donuts and two cookies = $4.95
[tex]5x+2y=4.95[/tex] ...(ii)
Multiply equation (i) by 2.
[tex]4x+6y=6.60[/tex] ...(iii)
Multiply equation (ii) by 3.
[tex]15x+6y=14.85[/tex] ...(iv)
Subtracting (iii) from (iv), we get
[tex]15x+6y-4x-6y=14.85-6.60[/tex]
[tex]11x=8.25[/tex]
Divide both sides by 11.
[tex]x=\dfrac{8.25}{11}[/tex]
[tex]x=0.75[/tex]
Therefore, the cost of each donut is $0.75.
