Question

Two apples and three mangoes cost rs.86. four apples and a mango cost rs.112. find the cost of an apple.

Answer 1

☆ranshsangwan☆


2a + 3m = 86 
4a + m = 112 

2a + 3m = 86 
-12a - 3m = - 336____add 

-10a = - 250 
a = 25 

100 + m = 112 
m = 12 

1 apple 25 rupee 
1 mango 12 rupee

Como · 1 year ago

Answer 2

Answer:

Rs.10

Step-by-step explanation:

Let cost of 1 apple be x

Let cost of one mango be y

So, cost of 2 apples = 2x

Cost of 4 apples = 4x

Cost of 3 mangoes = 3y

Since we are given that Two apples and three mangoes cost rs.86.

$\Rightarrow 2x+3y =86$   --a

We are also given that  four apples and a mango cost rs.112.

$\Rightarrow 4x+y =112$   --b

Solve the equations using substitution method .

Substitute the value of y from b in a

$\Rightarrow 2x+3(112-4x) =86$  

$\Rightarrow 2x+336-12x =86$  

$\Rightarrow 336-10x =86$  

$\Rightarrow 336-86 =10x$  

$\Rightarrow 250 =10x$  

$\Rightarrow \frac{250}{10}=x$  

$\Rightarrow 10=x$  

Hence the cost of an Apple is Rs.10