SOLUTION: Lester is trying to decide what he wants to pack in his lunches this week. He is considering purchasing yogurt. He has a coupon that will save him twelve cents on each yogurt he b
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Question 1061632: Lester is trying to decide what he wants to pack in his lunches this week. He is considering purchasing yogurt. He has a coupon that will save him twelve cents on each yogurt he buys, provided that he buys eight yogurts. Lester is unwilling to spend more than $10 on yogurt.What must the regular price of a yogurt be for Lester to make this purchase?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
let x equal the regular price of the yogurt.
the sale price of the yogurt is therefore x - .12.
he has to buy 8 in order to get the sale price.
he doesn't want to spend more than 10 dollars.
your equation becomes:
8 * (x - .12) <= 10.
simplify to get 8 * x - 8 * .12 <= 10.
simplify further to get 8 * x - .96 <= 10
add .96 to both sides of this equation to get 8 * x <= 10.96
divide both sides of this equation by 8 to get x = 10.96 / 8
solve for x to get x = 1.37
the regular price is 1.37
the sale price is .12 less than this.
this makes the sale price equal to 1.25.
8 * 1.25 is equal to 10.
regular price of 1.37 is your solution.
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