Question

Peter sold watches ($7) and necklaces ($4) at a flea market. Total sales for 48 watches and necklaces were $300. How many of each did Peter sell? What were the total dollar sales of each?

Answer 1

How many watches and necklaces do you think that were sold?

Answer 2

@chrissy5850

Answer 3

Where @chrissy5850 at?

Answer 4

I will not be explain your question to get your answer until you respond back

Answer 5

@Austin1617

Answer 6

So you can make 2 equations with the information given...
let w = watches, n = necklaces
\[7w+4n=300\]since the total sales of $7-watches and $4-necklaces came to $300, and \[w+n=48\]because the total number of w and n sold were 48.

Answer 7

Now you can alter the 2nd equation for either one of the variables, for example, like this \[w=48-n\]

Answer 8

Next, you can plug in the 2nd equation that we isolated for w into the 1st equation...\[7(48-n)+4n=300\]

Answer 9

Now you gotta simplify for n and you have the exact number of necklaces sold!

Answer 10

When you simplify, you get \[-3n=-36\]therefore, \[n=12\]So that means Peter sold exactly 12 necklaces worth (12)(4) = $48

Answer 11

Now that you've found n, you can simply plug it in our 2nd equation and get w! \[w=48-n\] \[w=48-12=36\]

Answer 12

Necklaces: 12 -> $48
Watches: 36 -> $252

Answer 13

Hope that helped!