Wilma and Fernando went to the Farmer's Market on Saturday. Wilma bought 3 apples and 6 oranges for $9. Fernando bought 6 apples and 2 oranges for $7.

What was the cost of 1 orange?_________________________

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absor201 absor201 · Answer 1 · 2020-12-11T14:29:07+01:00

Answer:

The cost of 1 orange y = 1.1

Step-by-step explanation:

Let cost of 1 apple = x

Cost of 1 orange = y

We will make equations from given statements to find the cost of 1 orange i.e y

Wilma bought 3 apples and 6 oranges for $9: Mathematical expression will be: [tex]3x+6y=9[/tex]

Fernando bought 6 apples and 2 oranges for $7. Mathematical expression will be: [tex]6x+2y=7[/tex]

Let:

[tex]3x+6y=9--eq(1)\\6x+2y=7--eq(2)[/tex]

Multiply eq(1) by 2 and subtract both equations.

[tex]6x+12y=18\\6x+2y=7\\- \ \ \ - \ \ \ \ -\\-----\\10y=11\\y=11/10\\y=1.1[/tex]

So, We get value of y=1.1

Now, put value of y in eq(1) to find value of x

[tex]3x+6y=9\\3x+6(1.1)=9\\3x=9-6.6\\3x=2.4\\x=2.4/3\\x=0.8[/tex]

So, the cost of 1 orange y = 1.1