Question

A store sells 3 pencils for $1.50. How much would 10 pencils cost?

(Hint: Set up a proportion. Find x by cross multiplying 31.50=10x
3
1.50
=
10
𝑥

(1 point)
Responses

$3
$3

$2
$2

$10
$10

$5

Answer 1

To find the cost of 10 pencils, we can set up a proportion based on the information given. We know that 3 pencils cost $1.50, and we want to find out how much 10 pencils will cost (let's call that amount \( x \)).

The proportion can be set up as follows:

\[
\frac{3 \text{ pencils}}{1.50 \text{ dollars}} = \frac{10 \text{ pencils}}{x \text{ dollars}}
\]

Now we can cross multiply to solve for \( x \):

\[
3 \cdot x = 10 \cdot 1.50
\]

Calculating the right side:

\[
10 \cdot 1.50 = 15
\]

So now we have:

\[
3x = 15
\]

To solve for \( x \), divide both sides by 3:

\[
x = \frac{15}{3} = 5
\]

Thus, the cost of 10 pencils is **$5**.

Therefore, the answer is:

**$5**