1. 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. The inequality 2.5x + 4y less than or equal to 60 represents the possible combinations of chips (x) and salsa (y) you can buy.

10 bags of chips and 2 jars of salsa
20 bags of chips and 2 jars of salsa
14 bags of chips and 5 jars of salsa
18 bags of chips and 6 jars of salsa

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