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:
- Subtract 13 from both sides:
\[ 6x = 50 - 13 \]
\[ 6x = 37 \]
- 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.
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