At a hockey game a vendor sold a combined total of 110 sodas and hot dogs. The number of hot dogs sold was 42 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs

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absor201 absor201 · Answer 1 · 2020-02-09T07:46:51+01:00

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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