The cost of 2 choclates and 3 biscuits is 55 and that of 4 choclates and iscuits is 110, then the cost of one choclate and one biscuit are
Answers
Q: If the cost of 2 chocolates and 3 biscuits is ₹55 and that of 4 chocolates and 6 biscuits is ₹110, then cost of 1 chocolate and 1 biscuit is?
Solution :-
Let the number of chocolate and biscuit be x and y respectively.
The equation will be written as :
2x + 3y = ₹55 _____(i)
4x + 6y = ₹110
Here,
2/4 = 3/6 = 55/110
So, infinitely many solutions.
Suppose that the cost of one choclate be ₹20 :
Substituting the value of x in equation (i),
=> 2 × 20 + 3y = ₹55
=> 3y = 55 - 44
=> y = 15/3 = 5
Therefore,
If we take the cost of one choclate ₹20 then we get the cost of one biscuit ₹5.
Hence,
The cost of one choclate and one biscuit = ₹(20 + 5) = ₹ 25
Answer:
Step-by-step explanation:
Given :-
The cost of 2 choclates and 3 biscuits is 55 and that of 4 choclates and iscuits is 110.
To Find :-
Cost of one choclate and one biscuit.
Solution :-
Let the number of chocolate and biscuit be x and y .
The equation will be written as : 2x + 3y = ₹55 _____(i)
2x + 3y = ₹55
4x + 6y = ₹110
2/4 = 3/6 = 55/110
Suppose that the cost of one chocolate be ₹20 :
Substituting the value of x in equation (i),
⇒ 2 × 20 + 3y = ₹55
⇒ 3y = 55 - 44
⇒ y = 15/3
⇒ y = 5
The cost of one choclate and one biscuit
= ₹(20 + 5)
= ₹ 25.
Hence, The cost of one choclate and one biscuit is ₹ 25.