Question

1. Eating a burger gives 360 calories and drinking a 200 ml bottle of Cola
gives 80 calories. YOU consumed 6400 calories on eating Burgers and
drinking Cola in the first week of vacations. The number of cola bottles
you consumed is half the number of burgers you ate in the first week.
Represent the above statements in the form of linear equations and solve
them graphically to find the number of burgers and cold drink bottles you
consumed in first week.
​

Answer 1

Answer:

x = 4266.67

y = 2133.34

Step-by-step explanation:

Let

Number of burgers eat in the week = x

Number of cola drinks in the week = y

Then according to the first condition of the question

x + y = 6400    .....(1)

And according to the first condition of the question

y = x/2       ......(2)

Both equations (1) and (2) represent the situation given in the question

We solve it first by theoretical method

Putting the equation (2) in equation (1) we get

x + x/2 = 6400

Multiplying the above equation by 2 on both sides

2x + x = 12800

⇒    3x = 12800

Dividing by 3 both sides

        x = 12800/3 = 4266.6... ≈ 4266.67

Putting the value of x in equation (2) to get

        y = 4266.67/2

⇒      y = 2133.333.... ≈ 2133.34

SO

x = 4266.67

y = 2133.34

To solve graphically see the below graph there is point in the graph where two curve intersect.The point of intersection of lines is solution.

In the graph the point A(4266.67 , 2133.34) is solution.