Question

Options of Answer

A) 10 bags of chips and 2 jars of salsa

B) 20 bags of chips and 2 jars of salsa

C) 14 bags of chips and 5 jars of salsa

D) 18 bags of chips and 6 jars of salsa

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Answer 1

D) 18 bags of chips and 6 jars of salsa

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:
`2.5x+4y` ≤
`60`

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

`2.5(10)+4(2)` ≤
`60`

`25+8` ≤
`60`

`33`≤
`60`

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

`2.5(10)+4(2)`≤
`60`

`50+8`≤
`60`

`58`≤
`60`

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

`2.5(14)+4(5)`≤
`60`

`35+20`≤
`60`

`55`≤
`60`

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

`2.5(18)+4(6)`≤
`60`

`45+24`≤
`60`

`69\geq 60`

Hence it is not correct since it violates the inequality