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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?

Verified Answer :

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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