laura is the fund - raising manager for a local charity. she is ordering caps for an upcoming charity walk…

laura is the fund - raising manager for a local charity. she is ordering caps for an upcoming charity walk. the company that makes the caps charges $6 per cap plus a $25 shipping fee. laura has a budget of $1,000. what is the greatest number of caps she can buy?\na. 162\nb. 163\nc. 166\nd. 167

laura is the fund - raising manager for a local charity. she is ordering caps for an upcoming charity walk. the company that makes the caps charges $6 per cap plus a $25 shipping fee. laura has a budget of $1,000. what is the greatest number of caps she can buy?\na. 162\nb. 163\nc. 166\nd. 167

Answer

Explanation:

Step1: Subtract shipping fee from budget

Let the number of caps be $x$. First, subtract the shipping - fee from the total budget. The amount of money available for buying caps is $1000 - 25=975$ dollars.

Step2: Set up an equation to find number of caps

Since each cap costs $6$ dollars, we have the equation $6x\leqslant975$. Solving for $x$, we get $x=\frac{975}{6}=162.5$.

Step3: Determine the greatest number of whole - caps

Since we can't buy a fraction of a cap, the greatest number of caps we can buy is the largest whole number less than or equal to $162.5$, which is $162$.

Answer:

A. 162