Question

at a baseball game, a vender sold a combined total of 186 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:

Explanation:

Step1: Define variables

Let \( h \) be the number of hot dogs sold. Then the number of sodas sold is \( 2h \) (since sodas are two times hot dogs).

Step2: Set up equation

The total number of sodas and hot dogs is 186, so \( h + 2h = 186 \).

Step3: Solve for \( h \)

Combine like terms: \( 3h = 186 \). Divide both sides by 3: \( h=\frac{186}{3}=62 \).

Step4: Find number of sodas

Sodas are \( 2h = 2\times62 = 124 \).

Answer:

Number of sodas sold: 124
Number of hot dogs sold: 62