Question

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.

graph of the inequality 2.5 x plus 4 y is less than or equal to 60

Which of the following does not represent a solution to the inequality?
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

Answer 1

18 bags of chips and 6 jars of salsa does not represent a solution....because if u sub in 18 for x and 6 for y, it is greater then 60, not less then or equal to 60

Answer 2

18 bags of chips and 6 jars of salsa.

Explanation:

The inequality that represents this situation is

`2.5x+4y \leq 60`

Because, $2.50 cost the bag of cheaps and salsa, and the budget is $60, which is a restriction, you cannot spend more than $60.

Now, the solutions of these inequality must satisfy the restriction. Let's evaluate each choice.

10 bags of chips and 2 jars of salsa.

`2.5x+4y \leq 60\\2.5(10)+4(2) \leq 60\\25+8 \leq 60\\33 \leq 60`

Which satisfies the restriction, the cost is under the budget.

20 bags of chips en 2 jars of salsa.

`2.5x+4y \leq 60\\2.5(20)+4(2) \leq 60\\50+8\leq 60\\58 \leq 60`

It's under the budget.

14 bags of chips and 5 jars of salsa.

`2.5x+4y \leq 60\\2.5(14)+4(5) \leq 60\\35+20 \leq 60\\55 \leq 60`

It's under the budget.

18 bags of chips and 6 jars of salsa.

`2.5x+4y \leq 60\\2.5(18)+4(6)\leq 60\\45+24 \leq 60\\69 \leq 60`

It's not under the budget.

Therefore, the last choice doesn't represent a solution of the inequality, because it costs more than $60.