if the cost of 5 apples and 3 bananas is rupees 26 and that of three apples and one banana is equal to 14 rupees then the cost of one Apple and one banana is
Answers
Answer:
4 and 2 respectively.
Step-by-step explanation:
let apples be x and bananas be y.
given: 5x + 3y = 26. equation 1
3x + 1y = 14. equation 2
to find: x and y
let us take equation 2.
it gives us y= 14-3x
substitute y value in equation 1.
we get 5x + 3(14-3x) =26.
therefore, 5x+ 42 - 9x = 26.
-4x + 42= 26.
-4x = 26- 42
4x= 42-26
x= 16/4
=4
substitute x value in equation 2. we get
3(4) + y= 14.
12+ y=14.
y= 2.
cost of one apple= rs 4
cost of one banana= rs 2.
Answer:
x = ₹4 and y = ₹2
x + y = 4 + 2 = ₹6
Step-by-step explanation:
Let the cost of 1 apple and 1 banana be x and y respectively
5x + 3y = ₹26 -eq. 1
3x + 1y = ₹14 -eq. 2
substituting y in eq. 2 .
y = 14 - 3x
putting the value of y in eq. 1
5x + 3( 14 - 3x ) = ₹26
>> 5x + 42 - 9x = ₹26
>> - 4x = 26 - 42
>> - 4x = - 16
>> x = - 16/ - 4
>> x = ₹4
putting the Value of x in eq. 1
5x + 3y = ₹26
>> 5 × 4 + 3y = 26
>> 20 + 3y = 26
>> 3y = 26 - 20
>> 3y = 6
>> y = 6/3
>> y = ₹2
x + y = 4 + 2 = ₹6