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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

The networking organization you joined is throwing a party. You are in charge of buying-example-1
User GrayDwarf
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2 Answers

4 votes

Answer:

18 bags of chips and 6 jars of salsa

Explanation:

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User ENca
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3 votes
We have the following variables:
chips (x)
salsa (y)
The inequality in this case is given by:
2.5x + 4y <= 60

For x = 10, y = 2:
2.5 (10) + 4 (2) <= 60
25 + 8 <= 60
33 <= 60

For x = 20, y = 2:
2.5 (20) + 4 (2) <= 60
50 + 8 <= 60
58 <= 60

For x = 14, y = 5:
2.5 (14) + 4 (5) <= 60
35 + 20 <= 60
55 <= 60

For x = 18, y = 6:
2.5 (18) + 4 (6) <= 60
45 + 24 <= 60
69 <= 60
The inequality is not fulfilled.

Answer:
18 bags of chips and 6 jars of salsa
User Alsotang
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