Picnic Plunder Practice

Jellystone National Park • Ranger Math Division

Name:

Date:

Visual Variable Key

🧺

Variable b

Baskets

🧢

Variable h

Hats

🐟

Variable f

Fish

⛺

Variable t

Tents

1

Substitution Station

Yogi Bear is swapping items! Solve each system using the substitution method. Show all steps in the boxes provided.

Problem #1 Baskets & Hats

\[ \begin{cases} b = 2h + 1 \\ 3b + h = 17 \end{cases} \]

Step 1: Substitute and Solve for First Variable

Step 2: Solve for Second Variable

Solution:

( ____ , ____ )

Problem #2 Hats & Baskets

\[ \begin{cases} h = 3b - 2 \\ 2b + 5h = 24 \end{cases} \]

Step 1: Substitute and Solve for First Variable

Step 2: Solve for Second Variable

Solution:

( ____ , ____ )

Problem #3 Fish & Tents

\[ \begin{cases} f = 4 - t \\ 2f + 3t = 10 \end{cases} \]

Step 1: Substitute and Solve for First Variable

Step 2: Solve for Second Variable

Solution:

( ____ , ____ )

Problem #4 Tents & Fish

\[ \begin{cases} t = 2f + 5 \\ f + 2t = 20 \end{cases} \]

Step 1: Substitute and Solve for First Variable

Step 2: Solve for Second Variable

Solution:

( ____ , ____ )

2

Elimination Expedition

Clean up the park! Solve each system using the elimination method. Remember: you must multiply one equation to eliminate a variable.

Problem #5 Baskets & Hats

\[ \begin{cases} 2b + 3h = 12 \\ b - h = 1 \end{cases} \]

Step 1: Multiply an Equation

Step 2: Eliminate and Solve

Solution:

( ____ , ____ )

Problem #6 Fish & Tents

\[ \begin{cases} 3f + 2t = 18 \\ f + t = 7 \end{cases} \]

Step 1: Multiply an Equation

Step 2: Eliminate and Solve

Solution:

( ____ , ____ )

Problem #7 Hats & Baskets

\[ \begin{cases} h + 3b = 6 \\ 4h - 2b = 10 \end{cases} \]

Step 1: Multiply an Equation

Step 2: Eliminate and Solve

Solution:

( ____ , ____ )

Problem #8 Tents & Fish

\[ \begin{cases} 5t + f = 21 \\ 2t - 3f = 5 \end{cases} \]

Step 1: Multiply an Equation

Step 2: Eliminate and Solve

Solution:

( ____ , ____ )

3

Jellystone Adventures

Apply your skills to real Jellystone scenarios! Choose your favorite method (Substitution or Elimination) for each.

🐻

The Great Picnic Heist

Yogi and Boo-Boo snagged 10 items total. The number of picnic baskets (\(b\)) they found was 1 more than twice the number of ranger hats (\(h\)) they took. How many of each did they steal?

System of Equations

Workspace

Final Answer:

🏕️

Camping Costs

Ranger Smith is restocking. Buying 3 fresh fish (\(f\)) and 1 tent (\(t\)) costs $40. If he buys 1 fresh fish and 2 tents, it costs $30. What is the price of a fish and a tent?

System of Equations

Workspace

Final Answer:

🚣

Canoe & Snack Rental

At the Jellystone Lake, 2 hours of canoeing (\(c\)) and 1 snack (\(s\)) costs $22. Alternatively, 1 hour of canoeing and 3 snacks costs $21. Find the cost of 1 hour of canoeing and 1 snack.

System of Equations

Workspace

Final Answer:

🥾

Hiking Supplies

A hiking group has 15 members total, consisting of adults (\(a\)) and children (\(c\)). The number of children is 3 more than twice the number of adults. How many adults and children are in the group?

System of Equations

Workspace

Final Answer:

Jellystone Equation Expedition

Picnic Plunder Math Worksheet

Jellystone Equation Slides

Picnic Plunder Answer Key

Jellystone Teacher Guide

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