Money Problems

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Answer Key & Explanations

Money Problems · Grade 4 · Worksheet 1

1. Emma is buying school supplies for the new year. She buys a backpack for $24.99, a set of colored pencils for $8.75, and a notebook for $3.50. If she pays with a $50 bill, how much change should she receive? Answer: $12.76 Solution: Backpack: $24.99 Colored pencils: $8.75 Notebook: $3.50 Total = $24.99 + $8.75 + $3.50 $24.99 + $8.75 = $33.74 $33.74 + $3.50 = $37.24 Emma paid with $50.00 Change = $50.00 - $37.24 $50.00 - $37.24 = $12.76 Emma should receive $12.76 in change.
   Full step-by-step solution

   Step 1: Find the total cost of all items Backpack: $24.99 Colored pencils: $8.75 Notebook: $3.50 Total = $24.99 + $8.75 + $3.50 Step 2: Add the costs $24.99 + $8.75 = $33.74 $33.74 + $3.50 = $37.24 Step 3: Calculate the change Emma paid with $50.00 Change = $50.00 - $37.24 Step 4: Subtract $50.00 - $37.24 = $12.76 Emma should receive $12.76 in change.

2. Emma is buying art supplies for a school project. She buys a sketchbook for $3.75, colored pencils for $4.25, and watercolor paints for $5.50. How much money did Emma spend on art supplies in total? Answer: $13.50 Solution: List all the amounts Emma spent: $3.75 + $4.25 + $5.50 Add the first two amounts: $3.75 + $4.25 = $8.00 Add the third amount to the sum: $8.00 + $5.50 = $13.50 Emma spent $13.50 in total on art supplies.
   Full step-by-step solution

   Step 1: List all the amounts Emma spent: $3.75 + $4.25 + $5.50 Step 2: Add the first two amounts: $3.75 + $4.25 = $8.00 Step 3: Add the third amount to the sum: $8.00 + $5.50 = $13.50 Emma spent $13.50 in total on art supplies.

3. $8.37 + $6.49 = ? Answer: 14.86 Solution: Write the numbers vertically, aligning the decimal points: 8.37 + 6.49 Add the hundredths place: 7 + 9 = 16. Write 6 in the hundredths place and carry over 1 to the tenths place.
   Full step-by-step solution

   Step 1: Write the numbers vertically, aligning the decimal points: 8.37 + 6.49 ------- Step 2: Add the hundredths place: 7 + 9 = 16. Write 6 in the hundredths place and carry over 1 to the tenths place. Step 3: Add the tenths place: 3 + 4 + 1 (carried over) = 8. Write 8 in the tenths place. Step 4: Add the ones place: 8 + 6 = 14. Write 4 in the ones place and carry over 1 to the tens place. Step 5: Add the tens place: 1 (carried over) = 1. Write 1 in the tens place. Step 6: Bring down the decimal point. The final answer is $14.86.

4. Emma is buying school supplies. She needs a backpack that costs $32.75, a set of markers for $8.50, and a notebook for $4.25. How much money will Emma spend in total? Answer: 45.50 Solution: - Backpack: $32.75 - Markers: $8.50 - Notebook: $4.25 Set up the addition problem by lining up the decimal points: 32.75 8.50 + 4.25 Add the cents (numbers to the right of the decimal point): 75 cents + 50 cents + 25 cents = 150 cents Since 100 cents = 1 dollar, this equals 1 dollar and 50…
   Full step-by-step solution

   Step 1: Write down all the amounts Emma needs to spend: - Backpack: $32.75 - Markers: $8.50 - Notebook: $4.25 Step 2: Set up the addition problem by lining up the decimal points: 32.75 8.50 + 4.25 Step 3: Add the cents (numbers to the right of the decimal point): 75 cents + 50 cents + 25 cents = 150 cents Since 100 cents = 1 dollar, this equals 1 dollar and 50 cents Step 4: Add the dollars: 32 dollars + 8 dollars + 4 dollars = 44 dollars Step 5: Combine dollars and cents: 44 dollars + 1 dollar (from the cents) = 45 dollars Plus 50 cents = $45.50 Step 6: The total is $45.50 Emma will spend $45.50 in total.

5. A rectangular swimming pool is drawn on a grid where each square unit represents 1 square meter. The pool has a length of 15.75 meters and a width of 8.2 meters. What is the total area of the swimming pool in square meters? Answer: 129.15 Solution: Recall the formula for area of a rectangle: Area = length × width Multiply the length and width: 15.75 × 8.2 First multiply 15.75 × 8 = 126.00 Then multiply 15.75 × 0.2 = 3.15 Add the partial products: 126.00 + 3.15 = 129.15 The total area is 129.15 square meters.
   Full step-by-step solution

   Step 1: Recall the formula for area of a rectangle: Area = length × width Step 2: Multiply the length and width: 15.75 × 8.2 Step 3: First multiply 15.75 × 8 = 126.00 Step 4: Then multiply 15.75 × 0.2 = 3.15 Step 5: Add the partial products: 126.00 + 3.15 = 129.15 Step 6: The total area is 129.15 square meters.

6. $27.85 + $16.49 = ? Answer: 44.34 Solution: Write the numbers vertically, aligning the decimal points: 27.85 + 16.49 Add the hundredths place: 5 + 9 = 14. Write 4 in the hundredths place and carry over 1 to the tenths place.
   Full step-by-step solution

   Step 1: Write the numbers vertically, aligning the decimal points: 27.85 + 16.49 ------- Step 2: Add the hundredths place: 5 + 9 = 14. Write 4 in the hundredths place and carry over 1 to the tenths place. Step 3: Add the tenths place: 8 + 4 + 1 (carried over) = 13. Write 3 in the tenths place and carry over 1 to the ones place. Step 4: Add the ones place: 7 + 6 + 1 (carried over) = 14. Write 4 in the ones place and carry over 1 to the tens place. Step 5: Add the tens place: 2 + 1 + 1 (carried over) = 4. Write 4 in the tens place. Step 6: Bring down the decimal point. The final answer is $44.34.

7. $27.85 + $14.39 = ? Answer: 42.24 Solution: Write the numbers vertically, aligning the decimal points: 27.85 + 14.39 Add the hundredths place: 5 + 9 = 14. Write 4 in the hundredths place and carry over 1 to the tenths place.
   Full step-by-step solution

   Step 1: Write the numbers vertically, aligning the decimal points: 27.85 + 14.39 ------- Step 2: Add the hundredths place: 5 + 9 = 14. Write 4 in the hundredths place and carry over 1 to the tenths place. Step 3: Add the tenths place: 8 + 3 + 1 (carried over) = 12. Write 2 in the tenths place and carry over 1 to the ones place. Step 4: Add the ones place: 7 + 4 + 1 (carried over) = 12. Write 2 in the ones place and carry over 1 to the tens place. Step 5: Add the tens place: 2 + 1 + 1 (carried over) = 4. Write 4 in the tens place. Step 6: Bring down the decimal point. The final answer is $42.24.

8. $18.35 + $27.90 = ? Answer: 46.25 Solution: Write the numbers vertically, aligning the decimal points: 18.35 + 27.90 Add the hundredths place: 5 + 0 = 5. Write 5 in the hundredths place. Add the tenths place: 3 + 9 = 12.
   Full step-by-step solution

   Step 1: Write the numbers vertically, aligning the decimal points: 18.35 + 27.90 ------- Step 2: Add the hundredths place: 5 + 0 = 5. Write 5 in the hundredths place. Step 3: Add the tenths place: 3 + 9 = 12. Write 2 in the tenths place and carry over 1 to the ones place. Step 4: Add the ones place: 8 + 7 + 1 (carried over) = 16. Write 6 in the ones place and carry over 1 to the tens place. Step 5: Add the tens place: 1 + 2 + 1 (carried over) = 4. Write 4 in the tens place. Step 6: Bring down the decimal point. The final answer is $46.25.