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?
+36916 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
+17 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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