Question

You plan to take a 7-day trip to California. You estimate that it will cost $275 per day to visit Los Angeles, and $400 per day to visit San Francisco. Your total budget for the 7 days is $2,300. How many days could you spend in each location, so that you spend your entire budget?

Answer 1

You can spend 4 days in Los Angeles and 3 days in San Francisco.

Explanation:

From the information given, you can write the following equations:

x+y=7 (1)

275x+400y=2,300 (2), where:

x is the number of days to visit Los Angeles

y is the number of days to visit San Francisco

First, you can solve for x in (1):

x=7-y (3)

Now, you can replace (3) in (2):

275(7-y)+400y=2,300

1,925-275y+400y=2,300

125y=2,300-1,925

125y=375

y=375/125

y=3

Finally, you can replace the value of y in (3) to find x:

x=7-3

y=4

According to this, the answer is that you can spend 4 days in Los Angeles and 3 days in San Francisco.