Question

At a football game, a vender sold a combined total of 191 sodas and hot dogs. The number of sodas sold was 43 more

than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.
Number of sodas sold:

Answer 1

There were 74 hot dogs and 117 sodas sold.

Explanation:

The following equation describes the conditions of the question:

`191=x+(x+43)\\191=2x+43\\`

where x is the number of hot dogs sold.

Solve for x:

`191=2x+43\\(191)-43=(2x+43)-43\\148=2x\\(148)/(2)=(2x)/(2)\\74=x`

There were 74 hot dogs sold and (74+43) or 117 sodas sold.