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.
identify each point as either a solution to the system or not a solution to the system of inequalities.
(1, 12)
(2, 10)
(4, 5)
(6, 10)
(12, 8)
(18, 6)

Step-by-step explanation:

It can be useful to graph the inequalities related to Tyler's limits of money and weight.

  1x +3y ≤ 36 . . . . . . the limit on the cost of the items Tyler can afford

  1x +1.5y ≤ 20 . . . . . the limit on the weight of the items Tyler can carry

Then plotting the given points shows that only (2, 10) and (4, 5) are in the doubly-shaded area that is the solution space. The other points are not a solution.

college

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.