Pregunta
Keith and his friends are heading to the Thunder Beach water park. They plan to purchase the group package, which costs \( \$ 78 \) for 6 people. That's \( \$ 3 \) less per person than the normal cost for an individual. What is the normal cost for an individual?
Ask by Reeves Nunez. in the United States
Jan 29,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The normal cost for an individual is \$16.
Solución
Let's determine the normal individual cost step by step.
1. **Let \( x \) be the normal cost per individual.**
2. **Group Package Cost per Person:**
- The group package costs \$78 for 6 people.
- Therefore, the cost per person in the group package is:
\[
\frac{78}{6} = \$13 \text{ per person}
\]
3. **Relationship Between Group and Individual Cost:**
- The group package is \$3 cheaper per person than the individual cost.
- So, we have:
\[
x - 3 = 13
\]
4. **Solve for \( x \):**
\[
x = 13 + 3 = 16
\]
**Therefore, the normal cost for an individual is \$\boxed{16}.**
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Bonus Knowledge
To find the normal cost for an individual, first, we calculate how much each person pays with the group package. The total cost for the group package is \$78 for 6 people, which means each person pays: \[ \text{Group cost per person} = \frac{78}{6} = \$13. \] Since this group rate is \$3 less than the normal cost, we can express the normal cost as: \[ \text{Normal cost} = \text{Group cost per person} + 3 = 13 + 3 = \$16. \] So, the normal cost for an individual is \$16.
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