Taylor starts with a $30 gift card and spends $9 on a picture frame. To determine how many $3 journals she can buy with her remaining balance, we can set up the following inequality.
Let \( x \) be the number of journals she buys.
After buying the picture frame, her remaining balance is:
\[ 30 - 9 = 21 \text{ dollars} \]
Her total spending on the journals will be \( 3x \) (where \( x \) is the number of journals). We need to ensure that the total cost of the journals does not exceed her remaining balance. Thus, we can write the inequality:
\[ 3x \leq 21 \]
Now, we can solve for \( x \):
\[ x \leq \frac{21}{3} \] \[ x \leq 7 \]
This means Taylor can buy up to 7 journals with her remaining balance of $21.
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