To determine the number of biking outfits \( x \) that Zendaya can purchase while staying within her budget, we first need to calculate her total expenses after buying the bicycle, reflectors, and bike gloves.
- Cost of the bicycle: $269.88
- Cost of 4 bicycle reflectors: \( 4 \times 10.57 = 42.28 \)
- Cost of bike gloves: $17.76
Now we can calculate the total expenses:
\[ \text{Total expenses} = \text{Cost of bicycle} + \text{Cost of reflectors} + \text{Cost of gloves} \]
\[ \text{Total expenses} = 269.88 + 42.28 + 17.76 \]
Calculating this:
\[ \text{Total expenses} = 269.88 + 42.28 = 312.16 \] \[ \text{Total expenses} = 312.16 + 17.76 = 329.92 \]
Next, we find how much money Zendaya has left after these purchases:
\[ \text{Money left} = 540 - 329.92 = 210.08 \]
Now, she plans to buy outfits that cost $65.65 each. The amount spent on \( x \) outfits is \( 65.65x \).
To stay within her budget, the money she spends on outfits must be less than or equal to the money left:
\[ 65.65x \leq 210.08 \]
Now, we can solve for \( x \):
To isolate \( x \), divide both sides by 65.65:
\[ x \leq \frac{210.08}{65.65} \]
Calculating the division:
\[ x \leq 3.2 \]
Since \( x \) represents the number of outfits, it must be a whole number. Therefore, the maximum number of outfits Zendaya can purchase is 3.
Inequality:
\[ x \leq 3 \]
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