Question 295135
Price at Sam's would be:


$35.00 + $7.48 per 48 ounce bag.


Price at Walmart would be:


$4.98 per 28 ounce bag.


You have 2 equations.


y = (4.98/28)*x for Walmart.


y = $35.00 + (7.48/48)*x for Sam's.


It looks like your equations are correct.


To look for a break even point, you would set these equations equal to each other.


You would get:


(4.98/28) * x = 35 + (7.48/48) * x


You would subtract (7.48/48) * x from both sides of this equation to get:


(4.98/28) * x - (7.48/48) * x = 35


You would factor out the x to get:


x * (4.98/28) - (7.48/48) = 35


You would divide 4.98/28 to get the cost per ounce, and you would divide 7.48/48 to get the cost per ounce.


You would get:


x * (.177857143 - .155833333) = 35


You would combine like terms to get:


x * (.02202381) = 35


You would divide both sides of this equation by .02202381 to get:


x = 1589.189189 ounces.


That's you break even point.


To confirm, you would substitute in your original equation to get:


(4.98/28) * x = 35 + (7.48/48) * x would become:


(4.98/28) * 1589.189189 = 35 + (7.48/48) * 1589.189189 which would become:


282.6486486 = 282.6486486 confirming that the value for x is good.


Your answer would be:


At less than 1589.189189 ounces, it would be cheaper to go to Walmart.


At greater than 1589.189189 ounces, it would be cheaper to to to Sam's.