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Glasses were sold at CVS. $12.00 for senior citizens and $14.50 for adults. There were 260 glasses sold for $3470 in total. How many total senior citizens glasses were sold?

 Mar 1, 2020
 #1
avatar+24714 
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S= senior cit glasses               revenue from =   $12 S

A = adult glasses =  260 -S     revenue from = ($ 14.50)(260-S)        Summed = $ 3470

 

 

12S + 14.5(260-S) = 3470       Solve for 'S'   the number of senior glasses sold

 Mar 1, 2020
 #2
avatar+17 
+1

Lets suppose x = senior citizens and y = adults. So we create a system of equations:

\(12x+14.5y = 3470\)

\(x+y=260\)

Then we solve the system of equations:

\(12x+14.5y = 3470\)

\(12x+12y=3120\)

Then we subtract:

\(2.5y=350\)

Divide:

\(y=140\)

And then we can solve for x:

\(x=120\)

:))))))))))))))))))))))))))

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 Mar 1, 2020
edited by CCjump21  Mar 1, 2020
edited by CCjump21  Mar 1, 2020

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