Question

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

Answer 1

9 bottles of soda can be bought.

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.