Julie and her family go to the movies. They buy 2 adult tickets and 3 child tickets. An adult ticket costs $3.50 more than a child ticket. Julie's family spends $35.75. What is the cost of the adult ticket?
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Answer:

$9.25

Step-by-step explanation:

let x = the cost of a child ticket

3(x)+2(x+3.50)=35.75

3x+2x+7=35.75

5x=28.75

x=5.75 cost of child ticket

5.75+3.50= 9.25

Answer:

$9.25

Step-by-step explanation:

Start by multiplying 2 by 3.5. This will give you 7. Then subtract 7 from 35.75, which gives you 28.75. This is the full amount for five child tickets. Then you want to divide 28.75 by 5, giving you 5.75. This is the amount for a single child ticket, and because we know that an adult ticket is 3.50 more than a child ticket, you add 3.50 and 5.75, which gives you your final answer of 9.25.