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 numb

Question

2 years ago

12

er of sodas sold. Find the number of sodas sold and the number of hot dogs

1 answer:

jasenka [17] · Answer 1 · 2022-07-30T06:46:36+03:00

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

$x+(x-42)=110\\x+x-42=110\\2x=110+42\\2x=152$

Dividing both sides by 2

$\frac{2x}{2}=\frac{152}{2}\\x=76$

Putting x=76 in Eqn 1

$y=76-42\\y=34$

76 sodas and 34 hot dogs were sold by the vendor.

Keywords: linear equation, substitution method

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