Write an inequality representing the number of outfits she can buy

Melanie has $660 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.  She buys a new bicycle for $382.14.  She buys 3 bicycle reflectors for $5.72 each and a pair of bike gloves for $27.55.  She plans to spend some or all of the money she has left to buy new biking outfits for $46.63 each. Write an inequality representing, the number of outfits she can buy while staying within her budget.

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x = amount of money left over

The amount of money left over equals the starting amount minus the expenses.

x = 660 - [382.14 + 3(5.72) + 27.55]  {amount left over equals 660 minus the total expenses}
x = 660 - (382.14 + 17.16 + 27.55)  {multiplied 3 by 5.72}
x = 660 - 426.85 {added inside parentheses}
x = 233.15  {subtracted}

y = the number of outfits she can buy

The price per outfit multiplied by the number of outfits, y, needs to be less than or equal to the amount left over, $233.15, to stay within her budget.

46.63y ≤ 233.15  {price per outfit multiplied by number of outfits is less than or equal to $233.15}

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