The Grass Doctor

Algebra 1 Solving EASY 10 POINTS!?

1) A nursery sells Kentucky Blue Grass seeds for 5.75 per pound and Tall Fescue seed for 4.50 per pound. The nursery sells a mixture of two kinds of seeds for 5.25 per pound. Let k represent the amount of Kentucky Blue Grass seed the nursery uses in 5 pounds of mixture. a) Write an equation to represent the problem. b) How much Kentucky Blue Grass does the nursery use in 5 pounds of mixture? d) How many Tall Fescue does the nursery use in 5 pounds of mixture? 2) Two commuter trains carry passengers between two cities. One traveling east, and the other west, on different tracks. Their respective stations are 150 miles apart. Both trains leave at the same time, one traveling at an average speed of 55 miles per hour and the other at an average speed of 65 miles per hour. Let t represent the time until the trains pass each other. Hint: D=rt A) write an equation using t that describes the distance traveled. c) How long after departing will the trains pass each other?

Public Comments

1. a. k = 5.25x b. 26.25 c. not enough info a. t = 120x b. 1 hours 15 minutes boooya
2. Lbs of Kentucky Blue Grass seeds—k: 5.75k + 4.50(5 - k) = 5.25(5) multiply each side by 4 23k + 18(5 - k) = 21(5) 23k + 90 - 18k = 105 5k = 15 k = 3 Lbs of Tall Fescue seeds: = 5 - 3 = 2 Answer 1: Kentucky Blue Grass seeds, 3 lbs; Tall Fescue seeds, 2 lbs Check: = (3[5.75] + 2[4.50])/5 = (17.25 + 9.00)/5 = 26.25/5 OR 5.25 ------------ No. of hours—t: t(55 + 65) = 150 divide each side by 5 t(11 + 13) = 30 24t = 30 t = 1.25 Answer 2: 1.25 hours OR 1 hr 15 minutes