Question

7 cups and 3 dishes cost ₹ 1110, while 5 cups and 4 dishes cost ₹ 1350. Find the cost of a cup and a dish​

Answer 1

Answer:

Rs. 30 and Rs. 300

Step-by-step explanation:

Let the cost of one cup be Rs. x

Let the cost of one dish be Rs. y

So, 7x + 3y = 1110 and

5x + 4y = 1350

Multiplying 1st equation with 4 and 2nd with 3, we get;

28x + 12y = 4440 and 15x + 12y = 4050

Subtracting 2nd equation from 1st, we get;

13x = 390

x = Rs.30

Therefore, cost of a cup is Rs. 30

Substituting x=30 in 1st equation,

7(30) + 3y = 1110

210 + 3y = 1110

3y = 900

y = Rs.300

Therefore, the cost of a dish is Rs. 300