Chapter 2: Q17. (page 145)

Akiko uses 2feet of thread for every three squares that she sews for her quilt. How many squares can she sew if she has 38feet of thread?
F19
G 57
H 76
J 228

Short Answer

Expert verified

She sews 57 squares if she has 38 feet thread.

Step by step solution

Step 1. Given information.

Akiko uses 2 feet of thread for every three squares that she sews for her quilt.

She has 38 feet of thread.

Step 2. To find the equation from the given condition.

Suppose she sews $x$ squares if she has 38 feet thread.

Akiko uses 2 feet of thread for every three squares.

Now, the equation

$\begin{array}{l} \frac{3}{2} = \frac{x}{38} \\ \Rightarrow 2 x = 3 \times 38 \\ \Rightarrow x = \frac{3 \times 38}{2} \\ \Rightarrow x = 3 \times 19 \\ \Rightarrow x = 57 \end{array}$

Step 3. To find the value of x.

$\begin{array}{l} \frac{3}{2} = \frac{x}{38} \\ \Rightarrow 2 x = 3 \times 38 \\ \Rightarrow x = \frac{3 \times 38}{2} \\ \Rightarrow x = 3 \times 19 \\ \Rightarrow x = 57 \end{array}$

Therefore, the value of $x$ is $57$ .

Hence, she sews 57 squares if she has 38 feet thread.

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Akiko uses 2feet of thread for every three squares that she sews for her quilt. How many squares can she sew if she has 38feet of thread?
F19
G 57
H 76
J 228

Short Answer

Step by step solution

Step 1. Given information.

Step 2. To find the equation from the given condition.

Step 3. To find the value of x.

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Akiko uses 2feet of thread for every three squares that she sews for her quilt. How many squares can she sew if she has 38feet of thread?F19G 57H 76J 228

Short Answer

Step by step solution

Step 1. Given information.

Step 2. To find the equation from the given condition.

Step 3. To find the value of x.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Mechanics Maths

Theoretical and Mathematical Physics

Logic and Functions

Probability and Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Akiko uses 2feet of thread for every three squares that she sews for her quilt. How many squares can she sew if she has 38feet of thread?
F19
G 57
H 76
J 228