76 sodas and 34 hot dogs were sold by the vendor.
Step-by-step explanation:
Given,
Total sodas and hot dogs sold = 110
Let,
x be the number of sodas sold
y be the number of hot dogs sold
According to given statement;
x+y=110 Eqn 1
y = x-42 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
[tex]x+(x-42)=110\\x+x-42=110\\2x=110+42\\2x=152[/tex]
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{152}{2}\\x=76[/tex]
Putting x=76 in Eqn 1
[tex]y=76-42\\y=34[/tex]
76 sodas and 34 hot dogs were sold by the vendor.
Keywords: linear equation, substitution method
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