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Story Problems How to solve –Look for important information –Then Write Solve Answer
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p. 78 #19 A physicians assistant measures a child and finds that his height is 41.5 inches. At his last visit the child was 38.75 inches tall. How much did the child grow? Step 1. Write Variables H2 = childs height now = 41.5 H1 = childs height then = 38.75 G = growth Step 2. Setup/ Solve the Equation G = H2 – H1 G = 41.5 – 38.75 G = 2.75 Step 3. Answer the Q The child grew 2.75 inches p. 78 #19 A physicians assistant measures a child and finds that his height is 41.5 inches. At his last visit the child was 38.75 inches tall. How much did the child grow?
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p. 78 # 71 In 1999, 189 physical therapists ran the New York City Marathon. This was 1048 fewer than the number of engineers who ran. How many engineers ran in the marathon? p. 78 # 71 In 1999, 189 physical therapists ran the New York City Marathon. This was 1048 fewer than the number of engineers who ran. How many engineers ran in the marathon? Step 1. Write Variables P = physical therapists = 189 E = engineers Step 2. Setup/ Solve the Equation P = E – 1048 189 = E -1048 189 + 1048 = E E=1237 Step 3. Answer the Q There were 1,237 engineers in the race
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P. 84 #17 A library receives a large cash donation and uses the funds to double the number of books it owns. Then a book collector gives the library 4028 books. After this the library has 51,514 books. How many books did the library have before the cash donation and the gift of books? P. 84 #17 A library receives a large cash donation and uses the funds to double the number of books it owns. Then a book collector gives the library 4028 books. After this the library has 51,514 books. How many books did the library have before the cash donation and the gift of books? Step 1. Write Variables N = number of books to start G = books given by collector T = total amount after Step 2. Setup/ Solve the Equation T= 2n + G 51,514 = 2n + 4028 51,514 – 4028 =2n 47,486 = n 2n= 23,743 Step 3. Answer the Q There were 23,743 books to begin with
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p. 91 #10 Two friends are renting an apartment. They pay the landlord the first month’s rent. The landlord also requires them to pay an additional half of a month’s rent for security deposit. The total amount they pay the landlord before moving in is $1725. What is the monthly rent? Step 1. Write Variables X= 1 month’s rent T=total amount = 1725 Step 2. Setup/ Solve the Equation x+.5x= 1725 1.5x = 1725 ( combine like terms) x = 1725 1.5x = 1150 Step 3. Answer the Q The monthly rent is $1,150 p. 91 #10 Two friends are renting an apartment. They pay the landlord the first month’s rent. The landlord also requires them to pay an additional half of a month’s rent for security deposit. The total amount they pay the landlord before moving in is $1725. What is the monthly rent?
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p. 91 #11 You are fencing a rectangular puppy kennel with 25 ft. of fence. The side of the kennel against your house does NOT need fence. This side is 9ft long. Find the dimensions of the kennel. Step 1. Write Variables W = width of kennel L = length of kennel = 9 ft T = total fence = 25 ft Step 2. Setup/ Solve the Equation T = 2w + L 25 = 2w + 9 25-9 = 2w 16 = w = 8 2 Step 3. Answer the Q The dimensions of the kennel are 7 ft x 9 ft
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