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Solve the following word problems: Calculate total lengths, volumes, heights, and masses using decimal arithmetic.

A worksheet with four word problems involving addition and subtraction of decimal numbers, including lengths of ribbons, volumes of water, heights of trees, and masses of potatoes.

A worksheet with four word problems involving addition and subtraction of decimal numbers, including lengths of ribbons, volumes of water, heights of trees, and masses of potatoes.

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Show Answer Key & Explanations Step-by-step solution for: Decimal Word Problem worksheet
Let's solve each problem step by step.

---

Problem 1:


Jasmine has a ribbon that is 12.6 metres long. Sharon has a ribbon that is 3.8 metres shorter. What is the total length of the two ribbons?

#### Step-by-Step Solution:
1. Length of Jasmine's ribbon:
\( 12.6 \) metres

2. Length of Sharon's ribbon:
Sharon's ribbon is 3.8 metres shorter than Jasmine's ribbon.
\[
\text{Length of Sharon's ribbon} = 12.6 - 3.8 = 8.8 \text{ metres}
\]

3. Total length of the two ribbons:
Add the lengths of Jasmine's and Sharon's ribbons:
\[
\text{Total length} = 12.6 + 8.8 = 21.4 \text{ metres}
\]

#### Final Answer:
\[
\boxed{21.4}
\]

---

Problem 2:


Jug A has 2.17 litres of water and Jug B has 0.79 litres less water than Jug A. Find the total volume of water in the two jugs.

#### Step-by-Step Solution:
1. Volume of water in Jug A:
\( 2.17 \) litres

2. Volume of water in Jug B:
Jug B has 0.79 litres less water than Jug A.
\[
\text{Volume of water in Jug B} = 2.17 - 0.79 = 1.38 \text{ litres}
\]

3. Total volume of water in the two jugs:
Add the volumes of water in Jug A and Jug B:
\[
\text{Total volume} = 2.17 + 1.38 = 3.55 \text{ litres}
\]

#### Final Answer:
\[
\boxed{3.55}
\]

---

Problem 3:


A coconut tree is 7.6 metres tall and a mango tree is 3.4 metres shorter than the coconut tree. Find the total height of the two trees.

#### Step-by-Step Solution:
1. Height of the coconut tree:
\( 7.6 \) metres

2. Height of the mango tree:
The mango tree is 3.4 metres shorter than the coconut tree.
\[
\text{Height of the mango tree} = 7.6 - 3.4 = 4.2 \text{ metres}
\]

3. Total height of the two trees:
Add the heights of the coconut tree and the mango tree:
\[
\text{Total height} = 7.6 + 4.2 = 11.8 \text{ metres}
\]

#### Final Answer:
\[
\boxed{11.8}
\]

---

Problem 4:


Sack A contains 32.5 kg of potatoes and Sack B contains 3.7 kg more potatoes than Sack A. Find the total mass of potatoes in the two sacks.

#### Step-by-Step Solution:
1. Mass of potatoes in Sack A:
\( 32.5 \) kg

2. Mass of potatoes in Sack B:
Sack B contains 3.7 kg more potatoes than Sack A.
\[
\text{Mass of potatoes in Sack B} = 32.5 + 3.7 = 36.2 \text{ kg}
\]

3. Total mass of potatoes in the two sacks:
Add the masses of potatoes in Sack A and Sack B:
\[
\text{Total mass} = 32.5 + 36.2 = 68.7 \text{ kg}
\]

#### Final Answer:
\[
\boxed{68.7}
\]

---

Final Answers:


1. \(\boxed{21.4}\)
2. \(\boxed{3.55}\)
3. \(\boxed{11.8}\)
4. \(\boxed{68.7}\)
Parent Tip: Review the logic above to help your child master the concept of word problems with decimals worksheet.
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