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A vending machine sells chips at $0.65 and candy at $0.75. Last month, the vending machine yielded $243.80 with the sale of 350 items.

Let x be the number of chips sold and y the number of candies. How many packages of chips were purchase last month?

1 Answer

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The first thing we need to do is to assign variables. Let
x represent the number of chips sold and let
y represent the number of candies sold. Now we can write two equations.


0.65x+0.75y=243.80

x+y=350

Let's simplify our first equation by multiplying the whole equation by 100.


65x+75y=24380

We can solve for
x in the second equation and we get
x=350-y.

Now we can substitute the value of
x into the first equation.


65(350-y)+75y=24380

22750-65y+75y=24380

22750+10y=24380

10y=1630

y=163

Now we can substitute the value of
y into the second equation.


x+163=350

x=187

Therefore the number of chips sold is 187.


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