The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how man
2 answers:
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Answer:
(1, 3)
General Formulas and Concepts:
<u>Algebra I</u>
- Coordinates (x, y)
- Reading a Cartesian (Rectangular) plane
- Solving systems of equations by graphing
Step-by-step explanation:
Where the 2 lines intersect will be the solution set to the systems of equations.
If the lines are parallel, they will have no solution.
If the lines are the same, they will have infinite amount of solutions.
<u>Let's take this problem step-by-step</u>:
<u>Let's first set up some variables</u>:
- c: # of children
- a: # of adults
<u>Let's examine the information given:</u>
- Elevator can hold a maximum of 1500 pounds
⇒ average child is 75 pounds
⇒ average adult is 150 pounds
⇒<em> therefore</em>:
- Elevator can fit no more than 14 people
⇒ <em>therefore</em>:
<u>Let's graph the equations</u>:
⇒ look at the image attached
<u>The point at which the two graphs intersect:</u>
⇒ <em>is the solution that represents the amount of children and adults and </em>
<em> their combine weight</em>
<em />
<u><em>With the horizontal axis being the # of children and vertical axis being the # of adults</em></u><em>:</em>
<em> ⇒ the </em><em>solution is 8 children and 6 adults</em>
<em></em>
<u>Answer: 8 children and 6 adults</u>
<u></u>
Hope that helped!
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