Purchases using an inequality

Tyler has $75 to spend at the mall.  He purchases a music video for $14.99 and a pair of jeans for $18.99.  He also spent $4.75 for lunch.  Tyler still wants to purchase a video game.  How much money can he spend on a video game?

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The money he spends must be less than or equal to the $75 he has to spend.

x = amount he can spend on video game
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14.99 + 18.99 + 4.75 + x ≤ 75   {all of the expenses added together must be less than or equal to $75}
38.73 + x ≤ 75   {combined like terms}
x ≤ 36.27   {subtracted 38.73 from each side}

He can spend $36.27 on the video game.

Ask Algebra House
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