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Answer:
<em>The System of Inequalities in this real-world scenario is:</em>
x+y < = 525
9x+5y < = 1200
Step-by-step explanation:
In this question we are asked to to write a system of inequalities, thus a system of relating two variables, where the relationship will be of the form either greater > or less < or equal.
<u>Given Information:</u>
→ Maximum number possible in the summer camp: 525
→ People attending are Adults (lets call them and Campers (lets call them
)
→ Ticket Cost for Adults is $9
→ Ticket Cost for Campers is $5
→ Maximum budget available for both Adults and Campers is $1200
From these information we can obtain 2 Inequalities to define our system of equation.
The first inequality will be with respect to the Maximum Number of People possible which reads as:
[sum of adults and campers should be less or equal to maximum number of people possible]
The second will be with respect to the Maximum Budget available which reads as:
[sum of the cost per ticket for adults and campers should be less or equal to maximum budget available]
<em>Thus the System of Inequalities in this real-world scenario is:</em>
<em>Which if solved can give us the values for and
, thus the number of adults and numbe of campers attedning the summer camp. </em>
To solve this problem we can use proportion, but first its nice to transform our fraction into improper fraction, so
and
Now we can make proportion
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of fuel
x-----------------------------
Now we can cross multiply
- its the result
and
Now we can make proportion
x-----------------------------
Now we can cross multiply