SOLUTION: a store mixes red fescue worth $10 per pound and ryegrass worth $13 per pound. THe mixture is to sell for $12 per pound. Find how much of each should be used to make a 264 pound mi
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Question 782054: a store mixes red fescue worth $10 per pound and ryegrass worth $13 per pound. THe mixture is to sell for $12 per pound. Find how much of each should be used to make a 264 pound mixture Answer by algebrahouse.com(1659) (Show Source):
10x + 13(264 - x) = 12(264) {price multiplied by number of pounds equals total value}
10x + 3432 - 13x = 3168 {used distributive property and multiplied}
-3x + 3432 = 3168 {combined like terms}
-3x = -264 {subtracted 3432 from each side}
x = 88 pounds of $10/pound red fescue {divided each side by -3}
264 - x = 176 pounds of $13 per pound ryegrass {substituted 88, in for x, into 264 - x}
88 pounds of $10 per pound red fescue
176 pounds of $13 per pound ryegrass
