The bakery sold 23 bagels and 12 muffins.
Step-by-step explanation:
Given,
Cost of each bagel = $1.50
Cost of each muffin = $2.00
Total sold = 35
Revenue generated = $58.50
Let,
x be the number of bagels
y be the number of muffins
According to given statement;
x+y=35 Eqn 1
1.50x+2y=58.50 Eqn 2
Multiplying Eqn 1 by 2
[tex]2(x+y=35)\\2x+2y=70\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 2 from Eqn 3
[tex](2x+2y)-(1.50x-2y)=70-58.50\\2x+2y-1.50x-2y=11.50\\0.50x=11.50[/tex]
Dividing both sides by 0.50
[tex]\frac{0.50x}{0.50}=\frac{11.50}{0.50}\\x=23[/tex]
Putting x=23 in Eqn 1
[tex]23+y=35\\y=35-23\\y=12[/tex]
The bakery sold 23 bagels and 12 muffins.
Keywords: linear equation, elimination method
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