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?

Explanation:

Step1: Define variables

Let \( s \) be the cost of a student ticket and \( a \) be the cost of an adult ticket.
From Ms. Green's purchase: \( 28s + 4a = 262 \)
From Mr. White's purchase: \( 22s + 2a = 191 \)

Step2: Simplify Mr. White's equation

Multiply the second equation by 2: \( 44s + 4a = 382 \)

Step3: Subtract Ms. Green's equation

Subtract \( 28s + 4a = 262 \) from \( 44s + 4a = 382 \):
\( (44s + 4a) - (28s + 4a) = 382 - 262 \)
\( 16s = 120 \)
\( s = \frac{120}{16} = 7.5 \)

Step4: Calculate total student tickets cost

Total student tickets: \( 28 + 22 = 50 \)
Total cost: \( 50 \times 7.5 = 375 \)

Answer:

\( 375 \)