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Exercise

# Exercise - Jonny's original investment x represent amount...

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Cameron and his friend John bought a used circus carousel for \$ 16,874 , including sales tax. If the sale tax rate is 5% then what was the cost of the carousel before the tax? total cost: \$ 16,874 rate: 5% ==> 0.05 so 16874 / 0.05 ≈ \$ 16070 ===================================================================== Fritz plans to fence off a square feed lot and then cross-fence to divide it into four smaller feed lots. If he uses 528 feet of fencing, then how much area will be fenced in? P + C = T P: perimeter ==> sum of length C: cross-fence T: total length S (P + C ) P = 4S

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C = 2S 4S + 2S = 528 6 S = 528 (( Divide by 6 )) S = 88 A = S * S --> 88 * 88 => 7744 ===================================================================== After one year Jonny's two mutual funds returned a total of \$5000. The first fund returned 2% and the second, in which he had invested \$2000 more, returned 19%. What was the amount of
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Unformatted text preview: Jonny's original investment? x : represent amount of invested 2% => 0.02 write expression for 19% => 0.19 0.02x + 0.19 ( x + 2000) = 5000 0.02x + 0.19x + 380 = 5000 0.21x = 5000 - 380 0.21x = 4620 (( Divide by 0.21 )) x = 22000 x + ( x +2000) = 2x + 2000 2x + 2000 => 2 (22000) +2000 => 46000 ==================================================================== How many gallon of a 80% antifreeze solution must be mixed with 90 gallons of 20% antifreeze to get a mixture that is 70% antifreeze? Use the Six-step method. x = gallon of 50% antifreeze 0.80x 90 gallon of 20% is 0.20 (90) 0.80x + 0.20 ( 90 ) 0.70 ( x + 90 ) Rate Gallon of mixture Pure Antifreeze 0.80 X 0.80x 0.20 90 0.20 (90) 0.70 X+100 0.70 (x +90) 100 {0.80x + 0.20 (90)}= 100 {0.70 (x+90)} 80x + 20 (90) = 70 (x+90) 80x + 20 (90) = 70x + 6300 80x -70x = 6300 - 1800 10x = 4500 x = 450...
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