Some tickets of a show are sold at Rs. 10 per ticket and the other tickets at Rs. 8 per ticket. In all, 105 tickets were sold. If the amount collected on a day was Rs. 922, find the number of tickets sold at Rs. 10.Choices:- 43 41 42 34

Let's denote the number of tickets sold at Rs. 10 as x and the number of tickets sold at Rs. 8 as y.

From the problem, we have two equations:

1. x + y = 105 (since the total number of tickets sold is 105)

2. 10x + 8y = 922 (since the total amount collected is Rs. 922)

We can solve these equations step by step:

Step 1: Multiply the first equation by 8, we get 8x + 8y = 840.

Step 2: Subtract the new equation from the second equation, we get 2x = 82.

Step 3: Divide both sides by 2, we get x = 41.

So, the number of tickets sold at Rs. 10 is 41. The correct choice is 41.

Let's denote:

• The number of tickets sold at Rs. 10 as x.
• The number of tickets sold at Rs. 8 as y.

From the problem, we have two equations:

1. x + y = 105 (since the total number of tickets sold is 105)
2. 10x + 8y = 922 (since the total amount collected is Rs. 922)

We can solve these equations step by step:

Step 1: Multiply the first equation by 8, we get 8x + 8y = 840.

Step 2: Subtract the new equation from the second equation, we get 2x = 82.

Step 3: Divide both sides of the equation by 2, we get x = 41.

So, 41 tickets were sold at Rs. 10. The correct choice is 41.

Let's denote:

• The number of tickets sold at Rs. 10 as x.
• The number of tickets sold at Rs. 8 as y.

From the problem, we have two equations:

1. x + y = 105 (since the total number of tickets sold is 105)
2. 10x + 8y = 922 (since the total amount collected is Rs. 922)

We can solve these equations step by step:

Step 1: Multiply the first equation by 8, we get 8x + 8y = 840. Step 2: Subtract the new equation from the second equation, we get 2x = 82. Step 3: Divide both sides by 2, we get x = 41.

So, 41 tickets were sold at Rs. 10.

Let's denote:

• The number of tickets sold at Rs. 10 as x.
• The number of tickets sold at Rs. 8 as y.

From the problem, we have two equations:

1. x + y = 105 (since the total number of tickets sold is 105)
2. 10x + 8y = 922 (since the total amount collected is Rs. 922)

We can solve these equations step by step:

Step 1: Multiply the first equation by 8, we get 8x + 8y = 840.

Step 2: Subtract the new equation from the second equation, we get 2x = 82.

Step 3: Divide both sides of the equation by 2, we get x = 41.

So, the number of tickets sold at Rs. 10 is 41. The correct choice is 41.