Answer:
Option d :18 bags of chips and 6 jars of salsa
Step-by-step explanation:
Given : The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag and salsa, which costs $4 per jar. The chips & salsa budget you are given totals $60.
Inequality : [tex]2.5x+4y\leq 60[/tex]
Solution :
x represents chips
y represents salsa
Option a: 10 bags of chips and 2 jars of salsa
so, x = 10 and y =2
Putting values in inequality
[tex]2.5(10)+4(2)\leq 60[/tex]
[tex]25+8\leq 60[/tex]
[tex]33\leq 60[/tex]
Hence it is correct.
Option b : 20 bags of chips and 2 jars of salsa
so, x = 20 and y =2
Putting values in inequality
[tex]2.5(20)+4(2)\leq 60[/tex]
[tex]50+8\leq 60[/tex]
[tex]58\leq 60[/tex]
Hence it is correct.
Option c : 14 bags of chips and 5 jars of salsa
so, x = 14 and y =5
Putting values in inequality
[tex]2.5(14)+4(5)\leq 60[/tex]
[tex]35+20\leq 60[/tex]
[tex]55\leq 60[/tex]
Hence it is correct.
Option d :18 bags of chips and 6 jars of salsa
so, x = 18 and y =6
Putting values in inequality
[tex]2.5(18)+4(6)\leq 60[/tex]
[tex]45+24\leq 60[/tex]
[tex]69\geq 60[/tex]
Hence it is not correct since it violates the inequality
