Money Problems

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Answer Key & Explanations

Money Problems · Grade 4 · Worksheet 3

1. 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.

2. 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.

3. Max had $16 in Max's piggy bank. Max took out $5 to buy a gift for a friend. How much money is left in the piggy bank? Answer: 11 Solution: Start with the amount in the piggy bank: $16. Step 2: Subtract the amount taken out: $5. Step 3: Calculate: $16 - $5 = $11.
   Full step-by-step solution

   Step 1: Start with the amount in the piggy bank: $16. Step 2: Subtract the amount taken out: $5. Step 3: Calculate: $16 - $5 = $11. The amount left in the piggy bank is $11.

4. 3.45 + 2.75 = ? Answer: 6.20 Solution: Write the numbers one under the other, aligning the decimal points. 3.45 + 2.75 Start adding from the rightmost column (hundredths place). 5 hundredths + 5 hundredths = 10 hundredths.
   Full step-by-step solution

   Let's add 3.45 and 2.75 step-by-step. Step 1: Write the numbers one under the other, aligning the decimal points. 3.45 + 2.75 _______ Step 2: Start adding from the rightmost column (hundredths place). 5 hundredths + 5 hundredths = 10 hundredths. Since 10 hundredths equals 1 tenth and 0 hundredths, write 0 in the hundredths place and carry over 1 to the tenths place. Step 3: Add the tenths place: 4 tenths + 7 tenths = 11 tenths, plus the 1 tenth carried over = 12 tenths. Since 12 tenths equals 1 whole and 2 tenths, write 2 in the tenths place and carry over 1 to the ones place. Step 4: Add the ones place: 3 ones + 2 ones = 5 ones, plus the 1 one carried over = 6 ones. Write 6 in the ones place. Step 5: Place the decimal point in the answer directly below the decimal points in the problem. So we have: 3.45 + 2.75 _______ 6.20 Final answer: 6.20

5. $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.

6. $14.25 + $9.68 = ? Answer: 23.93 Solution: Write the numbers vertically, aligning the decimal points: 14.25 + 9.68 Add the hundredths place: 5 + 8 = 13. Write 3 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: 14.25 + 9.68 -------- Step 2: Add the hundredths place: 5 + 8 = 13. Write 3 in the hundredths place and carry over 1 to the tenths place. Step 3: Add the tenths place: 2 + 6 + 1 (carried over) = 9. Write 9 in the tenths place. Step 4: Add the ones place: 4 + 9 = 13. Write 3 in the ones place and carry over 1 to the tens place. Step 5: Add the tens place: 1 + 1 (carried over) = 2. Write 2 in the tens place. Step 6: Bring down the decimal point. The final answer is $23.93.

7. Mason had $5 in Mason's piggy bank. Mason took out $4 to buy a gift for a friend. How much money is left in the piggy bank? Answer: 1 Solution: Start with the amount in the piggy bank: $5. Step 2: Subtract the amount taken out: $4. Step 3: Calculate: $5 - $4 = $1.
   Full step-by-step solution

   Step 1: Start with the amount in the piggy bank: $5. Step 2: Subtract the amount taken out: $4. Step 3: Calculate: $5 - $4 = $1. The amount left in the piggy bank is $1.

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.