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.

hillary plans to go on 3 rides and play 6 games at the state fair, which will require a total of 42 tickets. james will play 5 games and go on 4 rides, and needs 44 tickets.

determine the system of equations that can be used to find the number of tickets it takes to go on one ride, \\(r\\), and the number of tickets it takes to play one game, \\(g\\). assume all rides require the same number of tickets, and all games require the same number of tickets.

hillary: \\(r\\) + \\(g\\) =
james: \\(r\\) + \\(g\\) =

44 6 4 5 3 42 9

Explanation:

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<reasoning>

Translate Hillary's scenario into an equation

Using the Real-world Constraints knowledge point
\[

$$\begin{aligned} &\text{Rides: } 3 \implies 3r \\ &\text{Games: } 6 \implies 6g \\ &\text{Total tickets: } 42 \\ &3r + 6g = 42 \end{aligned}$$

\]

Translate James's scenario into an equation

Using the Real-world Constraints knowledge point
\[

$$\begin{aligned} &\text{Rides: } 4 \implies 4r \\ &\text{Games: } 5 \implies 5g \\ &\text{Total tickets: } 44 \\ &4r + 5g = 44 \end{aligned}$$

\]
</reasoning>

<answer>
Hillary: <blank>3</blank> \(r +\) <blank>6</blank> \(g =\) <blank>42</blank>
James: <blank>4</blank> \(r +\) <blank>5</blank> \(g =\) <blank>44</blank>
</answer>

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Answer:

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<reasoning>

Translate Hillary's scenario into an equation

Using the Real-world Constraints knowledge point
\[

$$\begin{aligned} &\text{Rides: } 3 \implies 3r \\ &\text{Games: } 6 \implies 6g \\ &\text{Total tickets: } 42 \\ &3r + 6g = 42 \end{aligned}$$

\]

Translate James's scenario into an equation

Using the Real-world Constraints knowledge point
\[

$$\begin{aligned} &\text{Rides: } 4 \implies 4r \\ &\text{Games: } 5 \implies 5g \\ &\text{Total tickets: } 44 \\ &4r + 5g = 44 \end{aligned}$$

\]
</reasoning>

<answer>
Hillary: <blank>3</blank> \(r +\) <blank>6</blank> \(g =\) <blank>42</blank>
James: <blank>4</blank> \(r +\) <blank>5</blank> \(g =\) <blank>44</blank>
</answer>

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