Average question, missing a step somewhere.

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A store sells a microwave for 24.99 and a toaster for 17.99, last week they sold 12 toasters and 7 microwaves, what was the average sell price for all items sold?

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I think this is a problem of weighted avereages. So the answer should be $$\frac {24.99 \times 7 + 17.99 \times 12}{7 + 12} $$ so the answer comes out to be $20.5689$