# Algebra 2

posted by .

Samantha is going on a vacation for the summer and is trying to choose between two different plans. The first plan costs 450\$ for 3 days at a hotel and 2 days at an amusement park. The second plan offers 5 days at the same hotel and 3 days at the amusement park for 700\$. The cost of 1 day at the hotel and the amusement park is the same under both plans. How much does a 1 day trip to the amusement park cost? ((I think it's 50\$)) ??

• Algebra 2 -

hotel costs \$h/day
park costs \$p/day

3h + 2p = 450
5h + 3p = 700

15h + 10p = 2250
15h + 9p = 2100
subtract:
p = 150
so, h=50

3(50)+2(150) = 150 + 300 = 450
5(50)+3(150) = 250 + 450 = 700

SO, it looks like you solved the problem, but got the hotel and park switched.

## Similar Questions

1. ### statistics

The number of vacation days taken by employees of a company is normally distributed with a mean of 14 days and a standard deviation of 3 days. For the next employee, what is the probability that the number of days of vacation taken …
2. ### MAT 201

The number of vacation days taken by employees of a company is normally distributed with a mean of 14 days and a standard deviation of 3 days. For the next employee, what is the probability that the number of days of vacation taken …
3. ### statistics

The number of vacation days taken by employees of a company is normally distributed with a mean of 14 days and a standard deviation of 3 days. For the next employee, what is the probability that the number of days of vacation taken …

the park family is staying at a hotel near an amusement park for 3 nights. the hotel costs \$129 per night. how much will their 3-night stay in the hotel cost.
5. ### Math

Julia spends 5/9 of her vacation at summer camp. She spends 3/4 of the remaining time at her grandparent's home. The remaining 7 days she spends at the seashore with her family. How many days of summer vacation does she get each summer?
6. ### algebra 2

Joe will rent a car for the weekend. He can choose one of two plans. The first plan has no initial fee but costs \$0.90 per mile driven. The second plan has an initial fee of \$65 and costs an additional \$0.40 per mile driven. How many …
7. ### A

You have just landed your first summer job and your boss has told you that you can choose from one of 3 pay structures for the first week (7 days) that you work there. And after the first week, your pay will be frozen at the final …
8. ### ALGEBRA

You have just landed your first summer job and your boss has told you that you can choose from one of 3 pay structures for the first week (7 days) that you work there. And after the first week, your pay will be frozen at the final …
9. ### Math

Leila will rent a car for the weekend. She can choose one of two plans. The first plan has no initial fee but costs \$0.70 per mile driven. The second plan has an initial fee of \$65 and costs an additional \$0.50 per mile driven. How …
10. ### math

Ivan will rent a car for the weekend. He can choose one of two plans. The first plan has no initial fee but costs \$0.70 per mile driven. The second plan has an initial fee of \$75 and costs an additional \$0.20 per mile driven. How many …

More Similar Questions