a vender sold a combined total of 128 sodas and hot dogs. The number of sodas sold was 34 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.

Answer 1

Let's use the variable h to represent the number of hot dogs sold.

Then we can write the following expression to represent the number of sodas sold: h + 34

Since the total sold for both items was 128 , we can write the following equation:

Number of hot dogs + number of sodas = Total

h + h + 34 = 128

Now combine like terms and use inverse operations to determine the number of hot dogs:

h + h + 34 = 128

2h + 34 = 128

2h + 34 - 34 = 128 - 34

2h = 94

2h / 2 = 94 / 2

h = 47 hot dogs

There were 47 hot dogs sold.

Since the total of sodas and hot dogs was 128, there were 128 - 47 sodas sold.

This is equivalent to 81 sodas.