
Help with word problem please! Show the job, I really appreciate it!?
1.) A farmer has a rectangular plot surrounded by perimeter = 200 feet of the fence. Find the length and width of the garden if its area is 2400ft square 2.) A purse contains an equal number of pennies, nickels, and dimes. The total value of the coins is $ 1.44. How many coins of each type is found in the envelope? 3.) A jeweler has five rings, each weighing 18g, made from an alloy of 10% silver and 90% gold. He decides to melt the silver rings and add enough to reduce the gold content to 75%. How much money should be added? 4) Betty and Karen was hired to paint the houses in a new development. Working together they can paint a house in two thirds the time it takes Karen to work alone. Betty takes 6 hours to paint a house alone. How long does it take to paint a Karen house working alone? Once again thank you very much! I'm a disaster in the history of problems, from a very hard time!
1. Let x = length of garden and garden width = 2x + 2y = 200 (1) x * y = 2400 (2) From 1: x + y = 100 x = 100 - and 2: (100 - y) y * = 100y 2400 - Y ^ 2 = 2400 y ^ 2 - 100y + 2400 = 0 (3) Let Z = y - 50 y = z + 50 Beginning 3: (50 + z) ^ 2 - 100 (z + 50) + 2400 = 0 z ^ 2 + 100z + 2500 - 100z - 5000 + 2400 = 0 z ^ 2-100 = 0 z = + / - 10 = 60 y = 40 from 1: x = x = 40 or 60 February. Let x = number of one, five and ten cents each. 1 * x * x + 5 + 10 * x = 144 16x = 144 x = 9 3. Total weight = 5 * 18 = 90 amount of gold = 90% total weight x = 0.9 * 90 = 81g amount of silver = 10% x total weight = 0.1 * 90 = 9g Let x = amount of money to add the gold content to 75% the amount of gold / (Weight amount of silver to add original +) = 75% = 0.75 81 / (90 + x) = 0.75 81 = 0.75 * (90 + x) 81 = 0.75 x 0.75 x 67 , 5 + 13.5 = x = 18g 4. Let x = time it takes to paint a house in Karen only working time taken for both Karen and Betty to paint a house = (03.02) * x = 2x / 3 2x / 3 hours, both Karen and Betty painted a house. This can be expressed as follows: amt of the house painted in Karen 2x / 3 + amt of the house painted by Betty 2x / 3 = 1 House (1) home Amt Karen painted in 1 hour = 1 / x Amt of the house painted by Betty in 1 hour = 1 / 6 of the house painted by Karen Amt in 2x / 3 = (1 / x) * (2x / 3) = 3.2 Amt painted house by Betty on 2x / 3 = (1 / 6) * (2x / 3) = x / 9 of 1: 2 / 3 + X / 9 = 1 x / 9 = 1.3 x = 3
SILVER & GOLD - My Gibraltar Crown (Metals Porn)
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