You are in charge of buying the chips and soda for
a party. You must spend $52. The chips cost $5
per bag and the soda costs $3 for a gallon bottle.
You want to buy 14 items. How many
bottles of soda should you buy?
Show work

Respuesta :

Answer:

9 bottles of soda can be bought.

Step-by-step explanation:

Let chips represented by x

and soda represented by y

then

x + y = 14     eq(1)

and

5x + 3y = 52    eq(2)

Solving the equations simultaneously we can find the value of x and y

Multiplying eq(1) with 5 and subtracting from eq(2)

5x + 3y = 52

5x + 5y = 70

-     -        -

___________

-2y = -18

y = -18/-2

y = 9

Putting value of y in eq(1)

x + y =14

x + 9 = 14

x = 14 - 9

x = 5

As y represents the soda, so 9 bottles of soda can be bought.

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