Question

At a hockey game, a vender sold a combined total of 123 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.

Answer 1

sodas = y

hotdogs = x

x + y =123

"The number of sodas sold was two times the number of hot dogs sold" ; From this we can generate a new equation:

y = 2x

We now have two equations and two unknowns so we can solve for x and y. We can plug in this new equation into the other one and get:

x + y =123

y = 2x

x+ (2x) =123 ..... 3x=123 .... x=41

2(41)=y .... y=82

82 sodas and 41 hotdogs were sold.