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Answer :
To determine which equation best represents Kiran's budget, let's go through the problem step-by-step.
Kiran's family needs to serve sparkling water and pretzels to 10 people, including themselves. Here are the details:
1. Quantities per Person:
- Each person gets 12 ounces of sparkling water.
- Each person gets 3 ounces of pretzels.
2. Total Quantities Needed:
- Total sparkling water needed = 12 ounces/person × 10 people = 120 ounces.
- Total pretzels needed = 3 ounces/person × 10 people = 30 ounces.
3. Packaging Information:
- A bottle of sparkling water contains 22 ounces and costs [tex]$1.50.
- A package of pretzels contains 16 ounces and costs $[/tex]2.99.
4. Calculate Total Cost:
- Number of bottles of sparkling water needed = 120 ounces / 22 ounces per bottle ≈ 5.45 bottles.
- Number of packages of pretzels needed = 30 ounces / 16 ounces per package ≈ 1.875 packages.
5. Cost Calculation:
- Total cost for sparkling water = 5.45 bottles × [tex]$1.50 per bottle ≈ $[/tex]8.18.
- Total cost for pretzels = 1.875 packages × [tex]$2.99 per package ≈ $[/tex]5.61.
- Total budget needed = [tex]$8.18 + $[/tex]5.61 ≈ [tex]$13.79.
With this understanding, let's compare with the given options:
- Option a: $[/tex]12s + 3p = b[tex]$ - This equation is related to total quantities of ounces but doesn't include cost calculations.
- Option b: $[/tex]12 \cdot 10 + 3 \cdot 10 = b[tex]$ - This option calculates total ounces needed but doesn't represent cost.
- Option c: $[/tex]1.50s + 2.99p = b[tex]$ - This option incorporates the costs per ounce, which isn't directly applicable here.
- Option d: $[/tex]1.50 \cdot 6 + 2.99 \cdot 2 = b$ - This option seems closer because it involves using fractional numbers of packages and their costs, rounding to nearest whole quantities.
From the analyses and rounding considerations, Option d seems to approximate the calculated budget most closely to cover the needs. It represents calculating cost based on whole bottles/packages after rounding from fractional calculations.
Kiran's family needs to serve sparkling water and pretzels to 10 people, including themselves. Here are the details:
1. Quantities per Person:
- Each person gets 12 ounces of sparkling water.
- Each person gets 3 ounces of pretzels.
2. Total Quantities Needed:
- Total sparkling water needed = 12 ounces/person × 10 people = 120 ounces.
- Total pretzels needed = 3 ounces/person × 10 people = 30 ounces.
3. Packaging Information:
- A bottle of sparkling water contains 22 ounces and costs [tex]$1.50.
- A package of pretzels contains 16 ounces and costs $[/tex]2.99.
4. Calculate Total Cost:
- Number of bottles of sparkling water needed = 120 ounces / 22 ounces per bottle ≈ 5.45 bottles.
- Number of packages of pretzels needed = 30 ounces / 16 ounces per package ≈ 1.875 packages.
5. Cost Calculation:
- Total cost for sparkling water = 5.45 bottles × [tex]$1.50 per bottle ≈ $[/tex]8.18.
- Total cost for pretzels = 1.875 packages × [tex]$2.99 per package ≈ $[/tex]5.61.
- Total budget needed = [tex]$8.18 + $[/tex]5.61 ≈ [tex]$13.79.
With this understanding, let's compare with the given options:
- Option a: $[/tex]12s + 3p = b[tex]$ - This equation is related to total quantities of ounces but doesn't include cost calculations.
- Option b: $[/tex]12 \cdot 10 + 3 \cdot 10 = b[tex]$ - This option calculates total ounces needed but doesn't represent cost.
- Option c: $[/tex]1.50s + 2.99p = b[tex]$ - This option incorporates the costs per ounce, which isn't directly applicable here.
- Option d: $[/tex]1.50 \cdot 6 + 2.99 \cdot 2 = b$ - This option seems closer because it involves using fractional numbers of packages and their costs, rounding to nearest whole quantities.
From the analyses and rounding considerations, Option d seems to approximate the calculated budget most closely to cover the needs. It represents calculating cost based on whole bottles/packages after rounding from fractional calculations.
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