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.

one package of pasta is the right amount to go with one jar of pasta sauce. what is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry?

how many packages of pasta?

how many jars of pasta sauce?

explain your reasoning.

8 packages

8 jars of sauce

Step-by-step explanation:

As you need just the same amount of pasta and sauce, you only need to create an equation, you can represent the sauce with an x and the pasta with a Y, so your equation would be:

3x + 1y= 36

since X=Y in number your new equation would be:

3x+ 1x=36

4x=36

x=

x=9

The other equation would be:

1.5x + 1y= 20

Since x equals y the equation will end up like this:

1.5x+1x=20

2.5x=20

x=8

Since 8 is the number that best suits the needs for the carying capacities, and you´ll end up with 3 extra bucks, but you cant buy the 9 and 9 and then can´t carry them in the backpack.

y=−9/2x+10

step-by-step explanation:

let's solve for y.

0−9x−2y=−20

step 1: add 9x to both sides.

−9x−2y+9x=−20+9x

−2y=9x−20

step 2: divide both sides by -2.

−2y

−2

=

9x−20

−2

y=

−9

2

x+10

1. 34

2. 268

3. x=14.4

step-by-step explanation: