Question

the cost of 2 kg of apples and 1 kg of grapes was found to be rupees 160.represent this situation algebraically?​

Answer 1

Answer:

Step-by-step explanation:

let cost of apple per kg = X

cost of grapes per kg= Y

given 2kg apple + 1 kg grape = 160

2X+1Y=160

Answer 2

Answer:

Let, the cost of 1 kg apples = ₹ x

The cost of 1 kg grapes = ₹ y

The two linear equations can be formed for the above situation.

Cost kg 2 kg apples and 1 kg of grapes are ₹ 160. Mathematically it can be represented as,

2x + y = 160 --- Equation(1)

Also, cost of 4 kg apples and 2 kg of grapes are ₹ 300. Mathematicallyit can be represented as,

4x + 2y = 300

2(2x + y) = 300

2x + y = 150 --- Equation(2)

Therefore, the algebraic representation for equation(1) is:

2x + y = 160

y = 160 - 2x

And, the algebraic representation for equation(2) is:

2x + y = 150

y = 150 - 2x