document.write( "Question 89379: 3. In captivity, the average life span of a grizzly bear is 9 years more than that of a tiger. The sum of the two average life spans is 41 years. Find the average life span of a tiger in captivity.
\n" ); document.write( "a. Define the variables.
\n" ); document.write( "b. Write the expression for the life span of a grizzly bear in terms of the life span of a tiger.
\n" ); document.write( "c. Write an equation for the sum of their life spans in term of one variable.
\n" ); document.write( "d. Solve the equation for the life span of a tiger. \r
\n" ); document.write( "\n" ); document.write( "4. George is 12 years older than Jeannie. The sum of their ages in 5 years will be 50. How old is Jeannie now?
\n" ); document.write( "a. Define the variables.
\n" ); document.write( "b. Write an expression for the age of George in terms of Jeannie's age.
\n" ); document.write( "c. Write an equation for the sum of their ages in 5 years from now.
\n" ); document.write( "d. Solve the equation for the age of Jeannie now.
\n" ); document.write( "5. Mandy begins bicycling west at 20mph. Liz leaves from the same point 1 hour later bicycling west at 30mph. When will she catch up with Mandy?
\n" ); document.write( "a. Define the variables.
\n" ); document.write( "b. Make a chart.
\n" ); document.write( "distance=rate x time Rate Time Distance
\n" ); document.write( "Mandy 20 t 20t
\n" ); document.write( "Liz 30 t -1 30(t-1) \r
\n" ); document.write( "\n" ); document.write( "c. Set the distances equal to one another (they travel the same distance) and solve the equation for t.
\n" ); document.write( "d. What does t represent?
\n" ); document.write( "
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Algebra.Com's Answer #64979 by stanbon(75887)\"\" \"About 
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3. In captivity, the average life span of a grizzly bear is 9 years more than that of a tiger. The sum of the two average life spans is 41 years. Find the average life span of a tiger in captivity.
\n" ); document.write( "a. Define the variables.
\n" ); document.write( "Let t be tiger's life span and b be the bear's life span.
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\n" ); document.write( "b. Write the expression for the life span of a grizzly bear in terms of the life span of a tiger. g=t+9
\n" ); document.write( "c. Write an equation for the sum of their life spans in term of one variable.
\n" ); document.write( "t+t+9 = 41
\n" ); document.write( "------------
\n" ); document.write( "d. Solve the equation for the life span of a tiger.
\n" ); document.write( "2t = 32
\n" ); document.write( "t=16
\n" ); document.write( "---------------
\n" ); document.write( "4. George is 12 years older than Jeannie. The sum of their ages in 5 years will be 50. How old is Jeannie now?
\n" ); document.write( "a. Define the variables.
\n" ); document.write( "George's age is g ; Jeannie's age if j.
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\n" ); document.write( "b. Write an expression for the age of George in terms of Jeannie's age.
\n" ); document.write( "g = j-12
\n" ); document.write( "---------------
\n" ); document.write( "c. Write an equation for the sum of their ages in 5 years from now.
\n" ); document.write( "g+5 + j+5 = 50
\n" ); document.write( "-----------------
\n" ); document.write( "d. Solve the equation for the age of Jeannie now.
\n" ); document.write( "(j-12)+5 + j+5 = 50
\n" ); document.write( "2j - 2 = 50
\n" ); document.write( "2j = 52
\n" ); document.write( "j = 26 yrs old
\n" ); document.write( "-------------------------------
\n" ); document.write( "
\n" ); document.write( "5. Mandy begins bicycling west at 20mph. Liz leaves from the same point 1 hour later bicycling west at 30mph. When will she catch up with Mandy?
\n" ); document.write( "a. Define the variables
\n" ); document.write( "Mandy's time is t; Liz's time is t-1.
\n" ); document.write( "b. Make a chart.
\n" ); document.write( "distance=rate x time Rate Time Distance
\n" ); document.write( "Mandy: rate = 20 mph ; time = t ; distance= 20t
\n" ); document.write( "Liz..: rate = 30 mph ; time = t -1 ; distance = 30(t-1)
\n" ); document.write( "c. Set the distances equal to one another (they travel the same distance) and solve the equation for t.
\n" ); document.write( "20t = 30(t-1)
\n" ); document.write( "20t = 30t-30
\n" ); document.write( "10t = 30
\n" ); document.write( "t = 3 hrs
\n" ); document.write( "============================
\n" ); document.write( "d. What does t represent?
\n" ); document.write( "Mandy's time.
\n" ); document.write( "=================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
\n" ); document.write( "\n" ); document.write( "
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