Ashop sells one pound bags of peanuts for $2 and three-pound bags of peanuts for $5. if 9 bags are purchased for a total cost of $36, how many three-pound bags were purchased?

6

Step-by-step explanation:

Let c represent three-pound bags and a represent one-pound bags.

Use a system of equations:

{9 = c + a

{36 = 5c + 2a

−⅕[36 = 5c + 2a]

{9 = c + a

{−7⅕ = −c - ⅖a >> New Equation

____________

1⅘ = ⅗a

__ ___

⅗ ⅗

[Plug this back into both equations above to get the c-term of 6];

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