Three jelly donuts and two glazed donuts cost $1.30. Thefore we can write the equation
[tex]3x+2y=1.3[/tex]Where "x" is the cost of one jelly donut and y is the cost of one glazed donut.
And one jelly donuts cost .10 less than two glazed donuts. Then we can write the second equation
[tex]x=2y-0.1[/tex]We can write that equation as
[tex]x-2y=-0.1[/tex]Now we have a system of equations
[tex]\begin{cases}3x+2y=1.3 \\ x-2y=-0.1\end{cases}[/tex]If we sum them we get
[tex]\begin{gathered} 3x+x+2y-2y=1.3-0.1 \\ \\ 4x=1.2 \\ \\ x=\frac{1.2}{4} \\ \\ x=0.3 \end{gathered}[/tex]Now we have the value of x we can put it in one of our equations and solve for y
[tex]\begin{gathered} 0.3-2y=-0.1 \\ \\ 2y=0.4 \\ \\ y=0.2 \end{gathered}[/tex]Therefore
[tex]\begin{gathered} x=0.3 \\ y=0.2 \end{gathered}[/tex]The cost of one jelly doughnut is $0.3 and the cost of one glazed donut is $0.2
