Real Life: Your family is planning a 7 day trip to Arizona. You estimate that it will cost $300 per day in Phoenix and $675 per day in the Grand Canyon. Your total budget for the 7 days is $2850. How many days should you spend in each location?
time spent in Phoenix | + | time spent in the Grand Canyon | = | total vacation time |
daily rate in Phoenix | * | time spent in the Grand Canyon | + | daily rate in Phoenix | * | time spent in the Grand Canyon | = | total 7 day budget |
HINT: Translate the problem into relationships and variables. In this case, let x represent the number of days spent in Phoenix and y represent the number of days spent in the Grand Canyon.
x + y = 7 300x + 675y = 2850
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