What is the solution to the system of equations below?
1 answer:
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Part A:
Given that <span>Starlight tree farms sells Douglas Firs and Noble First.
Let </span>n be the number of Noble Fir trees sold, then<span> if they sold 139 more Douglas First than Noble Firs, this means that the number of Douglas First trees sold is n + 139.
Given that the total number of trees sold was 377, then we have, n + n + 139 = 377, which means that 2n + 139 = 377
Therefore, the equation that could be used to solve for n, the number of Noble Fir trees sold is 2n + 139 = 377.
Part B:
</span><span>Given that you are driving 55 miles per hour and you must drive a total of 440 miles. If you already driven 275 miles, then, the equation representing the number of hours, h, it will take to reach your destination is given by 55h + 275 = 440.
Subtracting 275 from both sides of the equation gives:
</span>
<span>
Dividing both sides by 55 gives:
</span>
<span>
Therefore, the time it will take you to reach your destination is 3 hours.</span>
Given that <span>Starlight tree farms sells Douglas Firs and Noble First.
Let </span>n be the number of Noble Fir trees sold, then<span> if they sold 139 more Douglas First than Noble Firs, this means that the number of Douglas First trees sold is n + 139.
Given that the total number of trees sold was 377, then we have, n + n + 139 = 377, which means that 2n + 139 = 377
Therefore, the equation that could be used to solve for n, the number of Noble Fir trees sold is 2n + 139 = 377.
Part B:
</span><span>Given that you are driving 55 miles per hour and you must drive a total of 440 miles. If you already driven 275 miles, then, the equation representing the number of hours, h, it will take to reach your destination is given by 55h + 275 = 440.
Subtracting 275 from both sides of the equation gives:
</span>
<span>
Dividing both sides by 55 gives:
</span>
<span>
Therefore, the time it will take you to reach your destination is 3 hours.</span>