Problem

Two families go to a hockey game. One family purchases two adult tickets and four youth tickets for $33. Another family purchases four adult tickets and five youth tickets for $51.75. What is the cost of an adult ticket and the cost of a youth ticket?

Answer

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Answer

7. Solve for a: a=3.5

Steps

Step 1 ：1. 2a+4y=33

Step 2 ：2. 4a+5y=51.75

Step 3 ：3. a=51.75−5y4

Step 4 ：4. Substitute a from step 3 into step 1: 2(51.75−5y4)+4y=33

Step 5 ：5. Solve for y: y=6.25

Step 6 ：6. Substitute y back into step 3 to find a: a=51.75−5(6.25)4

Step 7 ：7. Solve for a: a=3.5

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