Sages team needs to buy at least 75 cans, but they only have $50 to spend. use the information sages collected to find another option. packages: 12 cans for $8,packages: 10 cans for $8, and packages 8 cans for $4

Step-by-step explanation:

The choices they have to buy are

Sages team needs at least 75 cans, and they have only $50. Let's make inequalities with each option they have.

12 cans for $8:

The unit rate here is 67 cents per can. So, 75 cans would be

Which is out of their budget.

10 cans for $8 is just not the solution, because it's giving less cans for the same money.

8 cans for $4:

The unit rate is 50 cents per can. So, 75 would be

Therefore, the last package is the best choice to buy at least 75 cans with a budget of $50 only.

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!