Adult tickets to the museum cost $4, while student tickets
cost $3. If 105 tickets were sold for a total of $380, how
many of each were sold?

Question

20-09-2022
Mathematics

Answered

Adult tickets to the museum cost $4, while student tickets
cost $3. If 105 tickets were sold for a total of $380, how
many of each were sold?

Answer :

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abdulmajeedabiodunac abdulmajeedabiodunac · Answer 1 · 2022-09-22T12:46:41-04:00

65 adult tickets were sold whereas 40 student tickets were sold as well

What approach is appropriate to solve the word problem?

The most suitable approach to determine the number of each type of tickets sold is by simultaneous equation such the word problems are modelled into equations which are solved together to ascertain the number of adult and student tickets sold altogether

let x be adult tickets sold

let y be student tickets sold

x+y=105........ equation 1

4x+3y=380........ equation 2

from equation 1, x=105-y

substitute for x in equation 2

4(105-y)+3y=380

420-4y+3y=380

420-y=380

420-380=y

40=y

y=40

x=105-40

x=65

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Adult tickets to the museum cost $4, while student tickets cost $3. If 105 tickets were sold for a total of $380, how many of each were sold?

Answer :

Other Questions

Adult tickets to the museum cost $4, while student tickets
cost $3. If 105 tickets were sold for a total of $380, how
many of each were sold?