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. x = pounds of $10 per pound red fescue
264  x = pounds of $13 per pound ryegrass {the mixture is 264 total pounds} 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  Algebra House
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