Question

A cost of two apples and four bananas is 70rs and two apples and two bananas is 60rs, whats the cost of one apple and one banana​

Answer 1

let cost of 1 apple be x and cost of 1 banana be y

A/q 2x + 4y = 70

x + 2y = 35_____1

2x + 2y = 60

x + y = 30______2

subtracting 1-2, we get

y = 5

putting the value of y in 2, we get

x = 25

therefore, cost of 1 apple = ₹25

cost of 1 banana = ₹5

Answer 2

GIVEN

Cost of two apples and four bananas =

rs 70

Cost of two apples and two bananas =

rs 60

TO FIND

Cost of one apple and one banana

SOLUTION

Let the cost of each apple be x

And the cost of each banana be y

CASE 1

Cost of two apple and four banana =

rs 70

2x + 4y = 70 (i)

CASE 2

Cost of two apples and two bananas =

rs 60

2x + 2y = 60 (ii)

Both eq. has the common factor 2.

So, divide (i) and (ii) by 2

So, the new equations are

x + 2y = 35 (iii)

x + y = 30 (iv)

So, we will solve these equations by

Elemination method.

Multiplying (ii) by 2 , we get ;

2x + 2y = 60 (v)

Subtracting, (iii) from (v), we get ;

x = 25

So, the cost of one banana is rs 25

Putting the value of x in (iv) , we get ;

25 + y = 30

y = 30 - 25

y = 5

So, the cost of each bananas is rs 5

PROVE

Cost of two apples and 4 bananas =

rs 70

2x + 4y = 70

= 2 × 25 + 4 × 5 = 70

= 50 + 20 = 70

= 70 = 70

Cost of two apples and two bananas =

rs 60

2x + 2y = 60

= 2 × 25 + 2 × 5 = 60

= 50 + 10 = 60

= 60 = 60

HENCE PROVED