Question

drag each number to the correct location on the equations. each number can be used more than once, but not all numbers will be used.

roy and elisa are buying tickets for the annual school concert. roy buys 6 adult tickets and 2 child tickets for a total of \\$66. elisa buys 5 adult tickets and 4 child tickets for a total of \\$62.

determine the system of equations that can be used to find the cost of one adult ticket, \\(a\\), and the cost of one child ticket, \\(c\\).

roy: \\(\quad a + \quad c = \quad\\)
elisa: \\(\quad a + \quad c = \quad\\)

numbers to choose from: 5, 2, 8, 66, 62, 128, 6, 4

Explanation:

⚡ Using what you learned: introduction to systems of equations

Step 1: Translate Roy's purchase into an equation

Roy buys \(6\) adult tickets (\(a\)) and \(2\) child tickets (\(c\)) for a total of \(\$66\).

$$ 6a + 2c = 66 $$

Step 2: Translate Elisa's purchase into an equation

Elisa buys \(5\) adult tickets (\(a\)) and \(4\) child tickets (\(c\)) for a total of \(\$62\).

$$ 5a + 4c = 62 $$

Answer:

Roy:

$$ 6a + 2c = 66 $$

Elisa:

$$ 5a + 4c = 62 $$