Instructions
This worksheet challenges you to use fractions and decimals to plan a realistic budget for a class field trip to the Science Museum. Read the scenarios carefully and show your work in the spaces provided.
- Complete the Warm-Up exercises to refresh your fraction skills.
- Analyze the Field Trip Budget Fractions chart and calculate the remaining budget.
- Convert the fractional costs into dollar amounts (decimals) to find the total expense.
- Attempt the optional Challenge Question for extra practice.
Section 1: Warm-Up – Mastering Fractions
Solve the following fraction problems. Remember to keep the denominator the same when adding or subtracting.
-
$3/8 + 2/8 = _____________$
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$7/10 - 4/10 = _____________$
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$1/6 + 2/6 + 1/6 = _____________$
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$10/12 - 5/12 = _____________$
Section 2: The Field Trip Budget Fractions
The 4th Grade class has a total budget of $100 for the field trip. This budget represents 1 whole (or $100/100$). The teacher has listed the costs as fractions of the whole budget.
A. Calculate the Total Spending Fraction
| Item | Fraction of Budget | Work Space (Adding) |
|---|---|---|
| Example: Admission | $20/100$ | $20/100$ |
| Bus Rental | $35/100$ | |
| Lunch & Snacks | $30/100$ | |
| Teacher Supplies | $5/100$ | |
| Total Spending Fraction |
Total Spending Fraction: $_____________$
B. Calculate the Remaining Budget
- The entire budget is represented by $100/100$. If you subtract the Total Spending Fraction (from above) from the entire budget, what fraction is left over?
$100/100 - _____________ = _____________$
Remaining Budget Fraction: $_____________$
Section 3: Decimals and Dollars
Money is often written using decimals (dollars and cents). Since the total budget is $100, a fraction with a denominator of 100 easily converts to dollars (e.g., $25/100 = $0.25$, or $25$ cents, if the budget was $1). Since our budget is $100$, $25/100$ of $100$ is $25$.
Convert the fractions from Section 2 into dollar amounts (decimals) and calculate the final cash total.
| Item | Fraction of Budget | Decimal / Dollar Amount | Work Space (Adding Decimals) |
|---|---|---|---|
| Example: Admission | $20/100$ | $20.00 | $20.00$ |
| Bus Rental | $35/100$ | ||
| Lunch & Snacks | $30/100$ | ||
| Teacher Supplies | $5/100$ | ||
| Total Cost |
A. What is the Total Cost of the trip?
$\$$ $_____________$
B. What dollar amount is left over in the budget?
(Hint: $100.00 - ext{Total Cost} = ext{Remaining Balance}$)
$\$$ $_____________$
C. Real-World Application
If the total amount left over ($\$$ $_____________$) must be divided equally among 5 students for souvenirs, how much money does each student get?
Calculation: $_____________$
Each student gets: $\$$ $_____________$
Section 4: Challenge Task (Optional)
Let's assume the Bus Rental cost ($35.00$) is only enough for the first 10 students. If the class has 30 students in total, how much more money is needed for the bus rental?
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Find the cost per student for the first 10 students: $35.00 / 10 = \$$ $_____________$
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Determine how many extra students need bus fare: $30 - 10 = _____________$ students.
-
Calculate the extra cost needed:
Extra Students $ imes$ Cost Per Student = $_____________$
Total Extra Cost Needed: $\$$ $_____________$
Answer Key
Section 1: Warm-Up
- $5/8$
- $3/10$
- $4/6$ (or $2/3$)
- $5/12$
Section 2: The Field Trip Budget Fractions
A. Calculate the Total Spending Fraction
| Item | Fraction of Budget | Work Space (Adding) |
|---|---|---|
| Example: Admission | $20/100$ | $20/100$ |
| Bus Rental | $35/100$ | $20/100 + 35/100$ |
| Lunch & Snacks | $30/100$ | $55/100 + 30/100$ |
| Teacher Supplies | $5/100$ | $85/100 + 5/100$ |
| Total Spending Fraction | $90/100$ | $90/100$ |
Total Spending Fraction: $90/100$
B. Calculate the Remaining Budget
- $100/100 - 90/100 = 10/100$
Remaining Budget Fraction: $10/100$
Section 3: Decimals and Dollars
| Item | Fraction of Budget | Decimal / Dollar Amount | Work Space (Adding Decimals) |
|---|---|---|---|
| Example: Admission | $20/100$ | $20.00 | $20.00$ |
| Bus Rental | $35/100$ | $35.00$ | $20.00 + 35.00 = 55.00$ |
| Lunch & Snacks | $30/100$ | $30.00$ | $55.00 + 30.00 = 85.00$ |
| Teacher Supplies | $5/100$ | $5.00$ | $85.00 + 5.00 = 90.00$ |
| Total Cost | $90/100$ | $90.00$ | $90.00$ |
A. What is the Total Cost of the trip?
$90.00
B. What dollar amount is left over in the budget?
$100.00 - 90.00 = 10.00$
C. Real-World Application
Calculation: $10.00 / 5 = 2.00$
Each student gets: $2.00$
Section 4: Challenge Task (Optional)
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Find the cost per student for the first 10 students: $35.00 / 10 = 3.50$ (or $\$$3.50)
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Determine how many extra students need bus fare: $30 - 10 = 20$ students.
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Calculate the extra cost needed:
$20 imes 3.50 = 70.00$
Total Extra Cost Needed: $70.00$