Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack.

Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar.

Let x = the number of packages of pasta and y = the number of jars of pasta sauce.

Select all that apply.

Choose the inequalities needed to describe the amount of pasta and pasta sauce that Tyler can buy.

(x + 1.5y ≤ 20) (x + 1.5y ≤ 36) (x + 3y ≤ 36) (x ≥ 0x + 1.5y ≥ 20) (x + 3y ≥ 20) x + 3y ≥ 36) (y ≥ 0)

Question

Mathematics

Russell Frank

20 June, 09:13

Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack.

Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar.

Let x = the number of packages of pasta and y = the number of jars of pasta sauce.

Select all that apply.

Choose the inequalities needed to describe the amount of pasta and pasta sauce that Tyler can buy.

(x + 1.5y ≤ 20) (x + 1.5y ≤ 36) (x + 3y ≤ 36) (x ≥ 0x + 1.5y ≥ 20) (x + 3y ≥ 20) x + 3y ≥ 36) (y ≥ 0)

+4

Answers (1)

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Jovanny · Answer 1

Given:

limit of $36 and 20 pounds of food in his back pack

pasta : 1 pound package @ $1

pasta sauce: 1.5 pound jar @ $3

x = number of pasta package

y = number of jar of pasta sauce

Constraint on the weight:

x + 1.5y < 20

Constraint on the cost of purchase.

x + 3y < 36