The right answer is Option C: 20
Step-by-step explanation:
Given,
Cost of medium cup of coffee = $3.00
Cost of large cup of coffee = $4.00
Total cups sold = 35
Total revenue for the coffee = $125.00
Let,
Number of medium cups of coffee = x
Number of large cups of coffee = y
According to given statement;
x+y=35 Eqn 1
3.00x+4.00y=125.00 Eqn 2
Multiplying Eqn 1 by 3;
[tex]3(x+y=35)\\3x+3y=105\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 3 from Eqn 2
[tex](3.00x+4.00y)-(3x+3y)=125.00-105\\3.00x+4.00y-3x-3y=20\\y=20[/tex]
As y represents the number of large cups, therefore,
20 large cups of coffee were sold by the shop.
The right answer is Option C: 20
Keywords: linear equation, subtraction
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