Problem Analysis:
The problem involves solving three length-related word problems related to a Christmas tree. Let's break down each part step by step.
---
Problem 1:
Question: Ashley bought a new Christmas tree, and it is 75 inches tall. The height of the old Christmas tree is 68 inches. How much taller is the new Christmas tree?
#### Solution:
To find how much taller the new Christmas tree is compared to the old one, we need to subtract the height of the old tree from the height of the new tree.
\[
\text{Height difference} = \text{Height of new tree} - \text{Height of old tree}
\]
Substitute the given values:
\[
\text{Height difference} = 75 \, \text{inches} - 68 \, \text{inches} = 7 \, \text{inches}
\]
#### Answer:
The new Christmas tree is
7 inches taller than the old one.
---
Problem 2:
Question: The star at the top of the Christmas tree is 8 inches tall. What is the height of the new Christmas tree after the star is put at the top?
#### Solution:
To find the total height of the new Christmas tree with the star on top, we need to add the height of the star to the height of the tree.
\[
\text{Total height} = \text{Height of new tree} + \text{Height of star}
\]
Substitute the given values:
\[
\text{Total height} = 75 \, \text{inches} + 8 \, \text{inches} = 83 \, \text{inches}
\]
#### Answer:
The total height of the new Christmas tree with the star on top is
83 inches.
---
Problem 3:
Question: Can the new Christmas tree with the star at the top fit in the family room? The ceiling of the family room is 96 inches high.
#### Solution:
To determine if the new Christmas tree with the star can fit in the family room, we compare the total height of the tree with the star (calculated in Problem 2) to the height of the ceiling.
From Problem 2, the total height of the tree with the star is
83 inches. The ceiling height of the family room is
96 inches.
Since:
\[
83 \, \text{inches} < 96 \, \text{inches}
\]
The tree will fit under the ceiling.
#### Answer:
Yes, the new Christmas tree with the star at the top
can fit in the family room.
---
Final Answers:
1. The new Christmas tree is
7 inches taller than the old one.
2. The total height of the new Christmas tree with the star on top is
83 inches.
3. Yes, the new Christmas tree with the star at the top
can fit in the family room.
\boxed{7, 83, \text{Yes}}
Parent Tip: Review the logic above to help your child master the concept of measurement word problems worksheet.