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Answer :
Sure, let's figure out how many scarves Heather can buy.
1. Understanding the Problem:
- Heather has at most [tex]$35.00 to spend.
- She wants to buy a pair of shoes that cost $[/tex]14.95.
- She also wants to buy some scarves, with each scarf costing [tex]$6.25.
2. Setting Up the Inequality:
- First, identify the total amount Heather can spend, which is $[/tex]35.00.
- The cost of the shoes is fixed at [tex]$14.95.
- The cost for the scarves can be represented by \(6.25s\), where \(s\) is the number of scarves.
- The total amount Heather spends (cost of shoes plus the scarves) should not exceed $[/tex]35.00. So, you set an inequality for this condition.
3. Writing the Inequality:
- Start with the total expenditure:
[tex]\[ 6.25s + 14.95 \][/tex]
- Set it less than or equal to [tex]$35.00 because Heather can't spend more than this amount:
\[ 6.25s + 14.95 \leq 35 \]
4. Conclusion:
- The inequality \(6.25s + 14.95 \leq 35\) describes the maximum number of scarves Heather can purchase by ensuring her total spending doesn't exceed $[/tex]35.00.
This inequality will help Heather determine the maximum number of scarves she can buy.
1. Understanding the Problem:
- Heather has at most [tex]$35.00 to spend.
- She wants to buy a pair of shoes that cost $[/tex]14.95.
- She also wants to buy some scarves, with each scarf costing [tex]$6.25.
2. Setting Up the Inequality:
- First, identify the total amount Heather can spend, which is $[/tex]35.00.
- The cost of the shoes is fixed at [tex]$14.95.
- The cost for the scarves can be represented by \(6.25s\), where \(s\) is the number of scarves.
- The total amount Heather spends (cost of shoes plus the scarves) should not exceed $[/tex]35.00. So, you set an inequality for this condition.
3. Writing the Inequality:
- Start with the total expenditure:
[tex]\[ 6.25s + 14.95 \][/tex]
- Set it less than or equal to [tex]$35.00 because Heather can't spend more than this amount:
\[ 6.25s + 14.95 \leq 35 \]
4. Conclusion:
- The inequality \(6.25s + 14.95 \leq 35\) describes the maximum number of scarves Heather can purchase by ensuring her total spending doesn't exceed $[/tex]35.00.
This inequality will help Heather determine the maximum number of scarves she can buy.
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