SOLUTION: The owner of a restaurant wants to buy two different types of coffee beands. One type costs $9 per pound, and the other type costs $13 per pound. Based on previous customer sales,

Algebra ->  Inequalities -> SOLUTION: The owner of a restaurant wants to buy two different types of coffee beands. One type costs $9 per pound, and the other type costs $13 per pound. Based on previous customer sales,       Log On


   



Question 1101381: The owner of a restaurant wants to buy two different types of coffee beands. One type costs $9 per pound, and the other type costs $13 per pound. Based on previous customer sales, the number of pounds,x, of the more expensive coffee needs to be less than 2/3 of the number of pounds, y, of the less expensive coffee. The most he wants to spend for the two types of coffee is $170. Which system of inequalities describes this situation?
A. x>2/3y, 22(x+y)≤170
B. x<2/3y, 13x+9y≤170
C. y<2/3x, 9x+3y≤170
D. y≤2/3x, 22(x+y)<170

Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
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One type costs $9 per pound, and the other type costs $13 per pound. Based on previous customer sales, the number of pounds,x, of the more expensive coffee needs to be less than 2/3 of the number of pounds, y, of the less expensive coffee. The most he wants to spend for the two types of coffee is $170.
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If x is the pounds of the more expensive coffee, then x%3C%282%2F3%29y, y being the cheaper coffee.

Amount of blend, x%2By pounds.

The mixture COST must be not more than $170.
13x%2B9y%3C=170


Choice B.