At a travel agency, the cost of a trip to Mexico is $350 for an adult and $200 for a child. One month, the agency sold 50 trips. Of these trips, Y trips were for children. The travel agency collected C dollars from selling all 50 trips. Express Y in terms of C.

Y = [tex]\frac{350}{3}[/tex] - [tex]\frac{1}{150}[/tex] CStep-by-step explanation:At a travel agencyThe cost of a trip to Mexico is $350 for an adult and $200 for a childThe agency sold 50 trips, of these trips Y trips were for childrenThe travel agency collected C dollars from selling all 50 tripsAssume that X trips were for adult∵ The agency sold 50 trips∵ There were Y trips for children∵ there were X trips for adult∴ X + Y = 50- Subtract Y from each side∴ X = 50 - Y ⇒ (1)∵ The cost of the trip of one adult = $350∵ The cost of the trip of one child = $200∵ The travel agency collected C dollars from selling all trips∴ C = 350 X + 200 Y ⇒ (2)Substitute X in equation (2) by equation (1)∵ C = 350(50 - Y) + 200 Y∴ C = 350(50) - 350(Y) + 200 Y∴ C = 17500 - 350 Y + 200 Y- Add like terms∴ C = 17500 - 150 YNow lets find Y in terms of C∵ C = 17500 - 150 Y- Add 150 Y in both sides∴ C + 150 Y = 17500- Subtract C from both sides∴ 150 Y = 17500 - C- Divide each term by 150∴ Y = [tex]\frac{350}{3}[/tex] - [tex]\frac{1}{150}[/tex] CY = [tex]\frac{350}{3}[/tex] - [tex]\frac{1}{150}[/tex] CLearn more:You can learn more about linear equations in brainly.com/question/2115716#LearnwithBrainly