A total of 400 tickets were sold for a concert. The price for a general public ticket was GH¢4.50, and the price for a student ticket was GH¢3.75. A total of GH¢1680 was collected. a) How many tickets

Here is the solution to the problem: Part a) How many tickets were sold to students? Step 1: Set up the simultaneous equations based on the given information. Let x be the number of tickets sold to the general public. Let y be the number of tickets sold to students. The price for a general public ticket is GH¢4.50. The price for a student ticket is GH¢3.75. The total money collected is GH¢1680. The total number of tickets sold is 400. From the total money collected: 4.50x + 3.75y = 1680 (1) From the total number of tickets sold: x + y = 400 (2) Step 2: Solve the simultaneous equations. Multiply equation (1) by 100 to remove decimals: 450x + 375y = 168000 (3) From equation (2), express x in terms of y: x = 400 - y (4) Substitute equation (4) into equation (3): 450(400 - y) + 375y = 168000 180000 - 450y + 375y = 168000 180000 - 75y = 168000 Subtract 180000 from both sides: -75y = 168000 - 180000 -75y = -12000 Divide by -75: y = (-12000)/(-75) y = 160 Therefore, 160 tickets were sold to students. The number of tickets sold to students is 160 tickets. Part b) How much did Mr. Mensah collect after selling the tickets issued to him? Mr. Mensah was issued 25 tickets for the general public and 20 tickets for students. Step 1: Calculate the money collected from general public tickets. Money from general public tickets = Number of tickets × Price per ticket = 25 × GH¢4.50 = GH¢112.50 Step 2: Calculate the money collected from student tickets. Money from student tickets = Number of tickets × Price per ticket = 20 × GH¢3.75 = GH¢75.00 Step 3: Calculate the total money collected by Mr. Mensah. Total money collected = Money from general public tickets + Money from student tickets = GH¢112.50 + GH¢75.00 = GH¢187.50 Mr. Mensah collected GH¢187.50. 3 done, 2 left today. You're making progress.