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Answer :
Sure, let's work through the problem step-by-step.
1. Understand the quantities:
- Kiran's family and guests total 10 people.
- Each person will get 12 ounces of sparkling water and 3 ounces of pretzels.
2. Calculate total quantities:
- Total sparkling water needed: [tex]\( 12 \text{ ounces/person} \times 10 \text{ people} = 120 \text{ ounces} \)[/tex]
- Total pretzels needed: [tex]\( 3 \text{ ounces/person} \times 10 \text{ people} = 30 \text{ ounces} \)[/tex]
3. Determine the cost of materials:
- Each bottle of sparkling water contains 22 ounces and costs [tex]$1.50.
- Each package of pretzels contains 16 ounces and costs $[/tex]2.99.
4. Calculate the cost of the sparkling water:
- Kiran needs 120 ounces of sparkling water.
- Number of bottles required: [tex]\( \frac{120 \text{ ounces}}{22 \text{ ounces/bottle}} \approx 5.4545 \)[/tex] bottles
- Cost for sparkling water: [tex]\( 5.4545 \times \$1.50 \approx \$8.18 \)[/tex]
5. Calculate the cost of pretzels:
- Kiran needs 30 ounces of pretzels.
- Number of packages required: [tex]\( \frac{30 \text{ ounces}}{16 \text{ ounces/package}} = 1.875 \)[/tex] packages
- Cost for pretzels: [tex]\( 1.875 \times \$2.99 \approx \$5.61 \)[/tex]
6. Total cost:
- Total cost (budget) [tex]\( b \)[/tex] = Cost of sparkling water + Cost of pretzels
- [tex]\( b = \$8.18 + \$5.61 \approx \$13.79 \)[/tex]
Therefore, the best equation to represent Kiran's budget in this context is:
[tex]\[ 1.50 \left( \frac{120}{22} \right) + 2.99 \left( \frac{30}{16} \right) \approx 13.79 \][/tex]
So, the equation that best represents Kiran's budget is "1.50 s + 2.99 p = b".
1. Understand the quantities:
- Kiran's family and guests total 10 people.
- Each person will get 12 ounces of sparkling water and 3 ounces of pretzels.
2. Calculate total quantities:
- Total sparkling water needed: [tex]\( 12 \text{ ounces/person} \times 10 \text{ people} = 120 \text{ ounces} \)[/tex]
- Total pretzels needed: [tex]\( 3 \text{ ounces/person} \times 10 \text{ people} = 30 \text{ ounces} \)[/tex]
3. Determine the cost of materials:
- Each bottle of sparkling water contains 22 ounces and costs [tex]$1.50.
- Each package of pretzels contains 16 ounces and costs $[/tex]2.99.
4. Calculate the cost of the sparkling water:
- Kiran needs 120 ounces of sparkling water.
- Number of bottles required: [tex]\( \frac{120 \text{ ounces}}{22 \text{ ounces/bottle}} \approx 5.4545 \)[/tex] bottles
- Cost for sparkling water: [tex]\( 5.4545 \times \$1.50 \approx \$8.18 \)[/tex]
5. Calculate the cost of pretzels:
- Kiran needs 30 ounces of pretzels.
- Number of packages required: [tex]\( \frac{30 \text{ ounces}}{16 \text{ ounces/package}} = 1.875 \)[/tex] packages
- Cost for pretzels: [tex]\( 1.875 \times \$2.99 \approx \$5.61 \)[/tex]
6. Total cost:
- Total cost (budget) [tex]\( b \)[/tex] = Cost of sparkling water + Cost of pretzels
- [tex]\( b = \$8.18 + \$5.61 \approx \$13.79 \)[/tex]
Therefore, the best equation to represent Kiran's budget in this context is:
[tex]\[ 1.50 \left( \frac{120}{22} \right) + 2.99 \left( \frac{30}{16} \right) \approx 13.79 \][/tex]
So, the equation that best represents Kiran's budget is "1.50 s + 2.99 p = b".
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