Anna has \( \$ 65 \) to spend on dress, shoes and accessories for a party. If the cost of the dress and shoes is more than \( \$ 50 \), which inequality represents the dollar amount, \( p \) Anna can spend on accessories? A) \( p>115 \) C) \( p>15 \) B) \( p<115 \) D) \( p<15 \) Untitled Question * 1 point A) \( p>115 \) B) \( p<115 \) C) \( p>15 \) D) \( p<15 \)
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Extra Insights
To solve this problem, we start with the total amount Anna has, which is \( \$ 65 \). Since the cost of the dress and shoes is more than \( \$ 50 \), we can express this as \( d + s > 50 \), where \( d \) is the cost of the dress, and \( s \) is the cost of the shoes. Now, the amount she can spend on accessories \( p \) can be found by subtracting the cost of the dress and shoes from her total amount: \[ p = 65 - (d + s) \] Since \( d + s > 50 \), we can write: \[ p < 65 - 50 \] \[ p < 15 \] Thus, the correct inequality representing the dollar amount Anna can spend on accessories is \( p < 15 \). The answer is D) \( p < 15 \). So, only \( \$ 15 \) or less can go towards accessories if she spends over \( \$ 50 \) on the dress and shoes!
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