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Victoria and her children went into a grocery store and she bought $9 worth of applesand bananas. Each apple costs $1.50 and each banana costs $0.50. She bought a totalof 8 apples and bananas altogether. Determine the number of apples, x, and thenumber of bananas, y, that Victoria bought.Victoria boughtapples andbananas.

Respuesta :

We will determine the solution as follows:

*First: From the text, we have the following expressions:

[tex]x+y=8[/tex]

&

[tex]1.50x+0.5y=9[/tex]

Here x represents apples and y represents bananas.

*Second: From the first expression, we solve for either x or y, that is [I will solve for ]:

[tex]x+y=8\Rightarrow x=8-y[/tex]

*Third: Now, using the value for x, we replace in the second expression and solve for y, that is:

[tex]1.50x+0.5y=9\Rightarrow1.50(8-y)+0.5y=9[/tex][tex]\Rightarrow12-1.50y+0.5y=9\Rightarrow-y=-3[/tex][tex]\Rightarrow y=3[/tex]

*Fourth: We replace the found value of y on the first expression and solve for x:

[tex]x+y=8\Rightarrow x+3=8[/tex][tex]\Rightarrow x=5[/tex]

So, the number of apples was 5 and the number of bananas was 3.

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