Ms. Green and Mr. White took their science classes to the museum. Ms. Green spent 262 $ to buy 28 student tickets and 4 adult tickets for her class. Mr. White spent 191 $ for 22 student tickets and 2 adult tickets for his class. How much did the student tickets for both classes cost in total? $____

Question

Ms. Green and Mr. White took their science classes to the museum. Ms. Green spent 262 $ to buy 28 student tickets and 4 adult tickets for her class. Mr. White spent 191 $ for 22 student tickets and 2 adult tickets for his class. How much did the student tickets for both classes cost in total?   $____

Bytelearn · Accepted Answer

Set up equations:  Step 1: Set up equations for each teacher's expenses. Ms. Green: 262 = 28s + 4a Mr. White: 191 = 22s + 2a Here, 's' represents the cost of one student ticket, and 'a' represents the cost of one adult ticket. Solve for 'a':  Step 2: Solve for 'a' using the equations. Multiply Mr. White's equation by 2 to align the coefficients of 'a': 2(191) = 2(22s + 2a) 382 = 44s + 4a  Now subtract Mr. White's modified equation from Ms. Green's equation: 262 - 382 = (28s + 4a) - (44s + 4a) -120 = -16s s = 7.5 Substitute and calculate:  Step 3: Substitute the value of 's' back into Mr. White's original equation to find 'a'. 191 = 22(7.5) + 2a 191 = 165 + 2a 26 = 2a a = 13 Calculate total cost:  Step 4: Calculate the total cost of student tickets for both classes. Total student tickets cost = (28 + 22) * 7.5 Total student tickets cost = 50 * 7.5 Total student tickets cost = 375

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