Question

At a basketball game, a vender sold a combined total of 177 sodas and hot dogs. The number of sodas sold was two times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold. Number of sodas sold:Number of hot dogs sold:

Answer 1

Number of sodas sold:118

Number of hot dogs sold: 59

Step-by-step explanation:

Let us call

h = number of hot dogs sold

s = number of sodas sold

Now we are told that a vendor sold a combined total of 177 sodas and hot dogs. This means

`s+h=177`

Furthermore, we are also told that the number of sodas sold was two times the number of hot dogs sold. This means

`s=2h`

Hence, we have two equations and two unknowns.

Substituting the value of s from the second equation into the first gives

`\begin{gathered} s+h=177 \\ \Rightarrow2h+h=177 \end{gathered}`

which simplifies to give

`3h=177`

dividing both sides by 3 gives

`h=177/3`
`\boxed{h=59.}`

This means that the number of hot dogs sold was 59.

WIth the value of h in hand, we now find s.

`s=2h`

putting h = 59 into the above gives

`\begin{gathered} s=2*59 \\ \Rightarrow\boxed{s=118.} \end{gathered}`

This means that the number of sodas sold was 118.

Hence, to summerise,

Number of sodas sold:118

Number of hot dogs sold: 59