[Video] Q6: Two types of tickets were sold for a concert held at an amphitheater. tickets to sit on a bench during the concert cost $75 each, and tickets to sit on the lawn during the concert cost $40 each. organizers of the concert announced that 350 tickets had been sold and that $19,250 had been raised through ticket sales alone. which of the following systems of equations could be used to find the number of tickets for bench seats, b, and the number of tickets for lawn seats, l, that were sold for the concert?

Explanation for Question 6 From the Math (Calc) Section on the Official Sat Practice Test 8

So question number six tells us about a concert, 2 right? And the two types of tickets, which are bents Bension lawn tickets and 3 the price of each of these tickets. And we're supposed to come up with 4 a system of equations using B the number of tickets 5 for bench seats and L the number of tickets for lawn seats. 6 Now, we know that the number of bench seats and the number of lawn 7 seats sold should equal a total of 350, 8 right? Cause that was the total number of tickets sold. 9 So one of our equations should be B plus L equals three 50. 10 We see that a ha has that B has that C doesn't have that 11 in D has that. So we're now choosing between a, 12 B and D. Now, 13 if we look at a, we can see what we're doing here is we're 14 multiplying 75, B times 40 L. 15 We can ask ourselves, is this right? Or is something missing now, 16 75 is the price of a bench ticket, 17 right? And the 75 times B would be the total amount of money that 18 the company gets from selling bench tickets. 19 And the 40 L is the total amount of money that the company gets 20 from selling lawn tickets. So now if we're trying to get to 1950, 21 which is actually not a number that is relevant to this, 22 um, this question at all right. 23 So first off we can think that multiplying these two numbers together, 24 if we multiply the two numbers together, we're not getting the total amount of 25 money made, right? Because we would need to add the money together to get 26 the total amount, but also 1,950 is n...