PLEASE ANSWERRRRRRRRRRRRRRR The Morris family spent 9 days at Lake Tahoe and San Francisco. They spent $350 per day at Lake Taho

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PLEASE ANSWERRRRRRRRRRRRRRR

The Morris family spent 9 days at Lake Tahoe and San Francisco. They spent $350 per day at Lake Tahoe and $475 per day in San Francisco. The total cost of their trip was $3,650.

Write a system of equations that can be used to find how many days the Morris family spent at Lake Tahoe and in San Francisco. Be sure to define the variables you use.

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Mia 2 hours 2021-09-12T11:26:53+00:00 1 Answer 0

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    2021-09-12T11:27:59+00:00

    Let T,S be the number of days spent at Tahoe and San Francisco, respectively.

    We don’t know the values of T and S yet, but we know that the holiday lasted 9 days:

    T+S=9

    We also know that each day spent in Tahoe costed 350 and each day spent in San Francisco costed 475. So, the total cost of the holiday is the sum of the number of days muliplied by their cost:

    350T+475S=3650

    If we put the two equations together, we have the system

    \begin{cases}T+S=9\\350T+475S=3650\end{cases}

    Which yields

    S=4,\quad T=5

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