Question

Miss Jones is buying erasers for her students. She already has 13
in her desk and needs a total of 50
erasers. They are sold in packs of 6
. Write an equation to show how many more packs of erasers she needs.

Answer 1

Let \( x \) be the number of packs of erasers that Miss Jones needs to buy. Each pack contains 6 erasers, so the total number of erasers she will have after purchasing \( x \) packs can be expressed as:

\[
13 + 6x
\]

Since she needs a total of 50 erasers, we can set up the equation:

\[
13 + 6x = 50
\]

This equation represents how many more packs of erasers Miss Jones needs to buy. To solve for \( x \), we can isolate \( x \) as follows:

1. Subtract 13 from both sides:

\[
6x = 50 - 13
\]

\[
6x = 37
\]

2. Divide by 6:

\[
x = \frac{37}{6}
\]

This simplifies to approximately \( 6.17 \), which means Miss Jones needs to buy a little more than 6 packs. Since she cannot buy a fraction of a pack, she will need to purchase 7 packs to ensure she has at least 50 erasers.

Thus, the equation showing how many more packs of erasers she needs is:

\[
13 + 6x = 50
\]

Where \( x \) represents the number of packs she needs to buy.