At a hockey game, a vender sold a combined total of 126 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

Question

I really need to know how to find the equation in a word problem.

Answer 1

x= soda

y= hot dogs

x+y=126 {a vender sold a combined total of 126 sodas and hot dogs)

2x=y (The number of sodas sold was two times the number of hot dogs sold)

so we have 2 equations here

x+y=126---------1

2x=y-----------2

solving x in eq 2 and using in eq 1

x=y/2

y/2+y=126

(y+2y)/2=126

3y=126*2

y=(126*2)/3

y=84

using y value in eq 2

2x=y

2x=84

x=84/2

x=42

no of sodas sold =42

no of hot dogs sold=84

Answer 2

d represents the number of hot dogs sold

2d represents the number of soda sold (twice the number of hot dots.

d + 2d = 126

Can you solve for d and answer?

Answer 3

Let x = the number of sodas sold and let y = the number of hot dogs sold.

From the problem, we see that x+y=126 and x=2y. We can combine the two equations from here:

x+y=126

2y+y=126

3y=126

y=42.

Substitute y=42 into x=2y and we get x=2(42)=84.

So x=84, y=42. Therefore, we have 84 sodas and 42 hot dogs that were sold.