Question

At a baseball game, a vender sold a combined total of 102 sodas and hot dogs. The number of sodas sold was 30 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: Number of hot dogs sold:

Answer 1

Answer: 132 hamburgers and 30 sodas

Explanation:

x= Number of hamburgers

y= Number of sodas

1 x + 1 y = 102

1 x -1 y = 30

Eliminate y

Add the two equations

2 x = 132

/ 2

x = 66

plug value of x in (1)

1 x + 1 y = 102

132 + y = 102

y = 102 -132

y = 30

y = 30

x= 132 Number of hamburgers

y= 30 Number of sodas

Answer 2

Hotdogs=36

Sodas=66

Explanation:

X-Hotdogs

Y-Sodas

Y-30=X

Y+X=102

New equation: 102-X-30=X

Add X to both sides

102-30=2x

x=36

y=66