Step 1: Highlight the important information in the problem.
Use a highlighter pen to highlight the important information in the problem (See the underlined words)
Juana is buying pi and cookies for a party. Pi cost Php 450 and cookies cost Php 100 per pack. Juana wants to spend no more that Php 2500 but she needs atleast 3 pi and atleast 2 packs of cookies. Use the graph to show how many of each item Juana can buy.
What are the important informations in the problem?
Pi costs 450 php
cookies costs 100 php
spend no more that Php 2500
she needs atleast 3 pi
atleast 2 packs of cookies
Step 2: Identify your variables. (Think of what you dont know and need to know in order to solved the problem)
Let x = the number of pi
Let y = the number of packs of cookies
Step 3: Write the inequalities
Which inequality represents the number of pi Juana needs?
x = the number of pi
x ≥ 3
Which inequality represents the number of packs of cookies Juana needs?
y = the number of packs of cookies
y ≥ 2
Which inequality represents how much Juana can spend in total?
450x + 100y ≤ 2500
Insert the correct inequality symbol for our system of inequalities
x ≥ 3
y ≥ 2
450x + 100y ≤ 2500
Step 4: Solve for inequalities
The solution for the inequality equations are the area where the three graphs overlap.
Just simply locate the coordinates that are inside the overlap of the graph (the one that looked like a triangle)
Step 5: Answer the question
Give the possible number of pi and packs of cookies can Juana buy (in coordinate form)
where x = the number of pi and y = the number of packs of cookies
Answers & Comments
Step 1: Highlight the important information in the problem.
Use a highlighter pen to highlight the important information in the problem (See the underlined words)
Juana is buying pi and cookies for a party. Pi cost Php 450 and cookies cost Php 100 per pack. Juana wants to spend no more that Php 2500 but she needs atleast 3 pi and atleast 2 packs of cookies. Use the graph to show how many of each item Juana can buy.
What are the important informations in the problem?
Pi costs 450 php
cookies costs 100 php
spend no more that Php 2500
she needs atleast 3 pi
atleast 2 packs of cookies
Step 2: Identify your variables. (Think of what you dont know and need to know in order to solved the problem)
Let x = the number of pi
Let y = the number of packs of cookies
Step 3: Write the inequalities
Which inequality represents the number of pi Juana needs?
x = the number of pi
x ≥ 3
Which inequality represents the number of packs of cookies Juana needs?
y = the number of packs of cookies
y ≥ 2
Which inequality represents how much Juana can spend in total?
450x + 100y ≤ 2500
Insert the correct inequality symbol for our system of inequalities
x ≥ 3
y ≥ 2
450x + 100y ≤ 2500
Step 4: Solve for inequalities
The solution for the inequality equations are the area where the three graphs overlap.
Just simply locate the coordinates that are inside the overlap of the graph (the one that looked like a triangle)
Step 5: Answer the question
Give the possible number of pi and packs of cookies can Juana buy (in coordinate form)
where x = the number of pi and y = the number of packs of cookies
1.) (4, 3)
x ≥ 3
4 ≥ 3 ; true
y ≥ 2
3 ≥ 2 ; true
450x + 100y ≤ 2500
450(4) + 100(3) ≤ 2500
1800 + 300 ≤ 2500
2100 ≤ 2500 ; true
2.) (4, 4)
x ≥ 3
4 ≥ 3 ; true
y ≥ 2
4 ≥ 2 ; true
450x + 100y ≤ 2500
450(4) + 100(4) ≤ 2500
1800 + 400 ≤ 2500
2200 ≤ 2500 ; true
3.) (4, 5)
x ≥ 3
4 ≥ 3 ; true
y ≥ 2
5 ≥ 2 ; true
450x + 100y ≤ 2500
450(4) + 100(5) ≤ 2500
1800 + 500 ≤ 2500
2300 ≤ 2500 ; true
4.) (4, 6)
x ≥ 3
4 ≥ 3 ; true
y ≥ 2
6 ≥ 2 ; true
450x + 100y ≤ 2500
450(4) + 100(6) ≤ 2500
1800 + 600 ≤ 2500
2400 ≤ 2500 ; true
5.) (4, 7)
x ≥ 3
4 ≥ 3 ; true
y ≥ 2
7 ≥ 2 ; true
450x + 100y ≤ 2500
450(4) + 100(7) ≤ 2500
1800 + 700 ≤ 2500
2500 ≤ 2500 ; true
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