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9) At Go and Shop, apples cost $3 each and oranges cost $2.50 each. Maggie bought three times as manyapples as she did oranges. If her total was $46, how many of each fruit did she buy?

Respuesta :

We have:

Let x = number of apples

Let y = number of oranges

Maggie bought three times as many apples as she did oranges, this is:

x = 3y

$3 each apple

$2.50 each orange

Total cost $46

Then, we have the expression:

[tex]3x+2.50y=46[/tex]

Next, solve the system of equations:

we replace x = 3y in the second equation

[tex]3(3y)+2.50y=46[/tex]

And solve for y

[tex]\begin{gathered} 9y+2.50y=46 \\ 11.5y=46 \\ \frac{11.5y}{11.5}=\frac{46}{11.5} \\ y=4 \end{gathered}[/tex]

Therefore, x is:

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