Answer:
One Sandwich is $3.75
Step-by-step explanation:
Let S and D stand for the cost of a Sandwhich and Drink, respectively. The cost of your meal was $12.54, for 2 sandwiches, 1 drink, 6% sales tax and a $3 tip. We can write that as:
$12.54 = (2S + 1D)*(1.06) + $3 [The 1.06 factor says "cost of the meal, plus 6% (0.06) sales tax"].
We know D = $1.50, so:
$12.54 = (2S + 1D)*(1.06) + $3
$12.54 = (2S + $1.50)*(1.06) + $3
$12.54 = 2.12S + $1.59 + $3
$12.54 = 2.12S + $4.59
2.12S = $7.95
S = $3.75
One Sandwich is $3.75
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CHECK
Do two sandwiches and one drink cost $12.54 after a 6% tax and $3 tip?
Sandwiches = 2*($3.75) = $7.50
Drink = $1.50
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Total Food = $9.00
Tax at 6% = $0.54
Tip =
$3.00
Total = $12.54 YES
