## raebaby420 2 years ago Samantha is going on 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? \$50 \$75 \$150 \$200

1. raebaby420

@mhmdrz91

2. NLCircle

Both plans are expressed as a linear combination of days at a hotel and days at an amusement park. You only know the summary prices of combinations of both, so let's designate a day at the hotel as 'h' and a day at the park as 'p'. You have two packages to choose from, namely: First plan (3 days hotel and 2 days park) for 450. This can be captured in the following equation: 3*h + 2*p = 450 Along a similar line, you can find an equation for the second plan. Can you do that ?

3. mhmdrz91

i write solution for two chance but the system clear all of it :(

4. NLCircle

Without giving away too much already, I can tell you that you will get two equations (one for the first plan, the other for the second plan) and two unknowns (a and h). Solve these two and you will find both a and h. h is then your answer. Let me know if you have trouble solving both equations, OK ?

5. mhmdrz91

\[\$450 = 3H + 2A\]\[\$700= 5H + 3A\]now we want find A, so make 2 equations that one side of them is H and other side is something that have numbers and coefficient and A! then we equal 2 somethings and solving problem and find A... ;-)

6. NLCircle

h = 50, p = 150, true ?