Ross had 20 pencils, Janae had 50 pencils, and Clay had 80 pencils. After 4 months, Ross used up 10 pencils, Janae used up 25 pencils, and Clay used up 40 pencils. What fraction did each use up? Check if each has used up an equivalent fraction of their pencils. $$ \begin{array}{ll} ext { (A) } \frac{1}{2} ext {,Equivalent } & ext { (B) } \frac{3}{2} ext {, Equivalent } \ ext { (C) } \frac{1}{2} ext {,non-equivalent } & ext { (D) } \frac{3}{2} ext {,non-equivalent }\end{array} $$

Question

Ross had 20 pencils, Janae had 50 pencils, and Clay had 80 pencils. After 4 months, Ross used up 10 pencils, Janae used up 25 pencils, and Clay used up 40 pencils. What fraction did each use up? Check if each has used up an equivalent fraction of their pencils. $$ \begin{array}{ll}	ext { (A) } \frac{1}{2} 	ext {,Equivalent } & 	ext { (B) } \frac{3}{2} 	ext {, Equivalent } \ 	ext { (C) } \frac{1}{2} 	ext {,non-equivalent } & 	ext { (D) } \frac{3}{2} 	ext {,non-equivalent }\end{array} $$

UpStudy AI · Accepted Answer

**Step 1. Calculate the fraction of pencils used by Ross**

Ross started with $$ 20 $$ pencils and used $$ 10 $$ pencils. The fraction of pencils he used is
$$
\frac{10}{20} = \frac{1}{2}.
$$

**Step 2. Calculate the fraction of pencils used by Janae**

Janae started with $$ 50 $$ pencils and used $$ 25 $$ pencils. The fraction of pencils she used is
$$
\frac{25}{50} = \frac{1}{2}.
$$

**Step 3. Calculate the fraction of pencils used by Clay**

Clay started with $$ 80 $$ pencils and used $$ 40 $$ pencils. The fraction of pencils he used is
$$
\frac{40}{80} = \frac{1}{2}.
$$

**Step 4. Compare the fractions**

Since Ross, Janae, and Clay each used $$\frac{1}{2}$$ of their pencils, they all used an equivalent fraction of their pencils.

**Final Answer**

$$
\text{(A) } \frac{1}{2}, \text{ Equivalent}
$$
Each person used $$\frac{1}{2}$$ of their pencils, so the fractions are equivalent. The answer is (A) $$\frac{1}{2}$$, Equivalent.

Ross had 20 pencils, Janae had 50 pencils, and Clay had 80 pencils. After 4
months, Ross used up 10 pencils, Janae used up 25 pencils, and Clay used up
40 pencils. What fraction did each use up? Check if each has used up an
equivalent fraction of their pencils.

Upstudy AI Solution

Answer

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