142 sodas and 71 hot dogs are sold
Solution:
Let "a" be the number of sodas sold
Let "b" be the number of hot dogs sold
At a football game, a vender sold a combined total of 213 sodas and hot dogs
Therefore,
number of sodas sold + number of hot dogs sold = 213
a + b = 213 ------------ eqn 1
The number of sodas sold was two times the number of hot dogs sold
Number of sodas sold = two times the number of hot dogs sold
a = 2b ---------- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 2 in eqn 1
2b + b = 213
3b = 213
b = 71
Substitute b = 71 in eqn 2
a = 2(71)
a = 142
Thus 142 sodas and 71 hot dogs are sold