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Example of Word problem:
There is a man who is 21 years older than his son. 5 years ago he was four times as old as his son. How older are both now?
Solution:
Step 1. Let x = Son's Age Now
Step 2. Then,
x + 21 = Father's Age Now
x - 5 = Son's Age Five Years Ago
(x + 21) - 5 = Father's Age Five Years Ago
Step 3. 5 years ago the father was four times as old as his son. (x + 21) - 5 = 4(x - 5)
Step 4. (x + 21) - 5 = 4(x - 5)
x + 16 = 4x - 20
x - 4x = -20 - 16
-3x = -36
x = 12 years
Solving for the other unknowns:
x + 21 = 12 + 21
x + 21 = 33 years
Answers: Son's Age Now = 12 years
Father's Age Now = 33 years
Step 5. The man is 21 years older than his son.
12 + 21 = 33 years
Five years ago he was four times as old as his son.
33 - 5 = 28 = 4(12 - 5) = 4 x 7
Thus, the answers check.
A ride in a taxicab costs $1.25 for the first mile and $1.15 for each additional mile. Which of the following could be used to computed the total cost y of a ride which was x miles
Example of Decimal to Fraction Conversion: Example: Convert 18.82 to a mixed number. Solution: Step 1: 18.82 is 18 and 82 hundredths. 18.82 = 18(8
Melissa is four times as old as Jim. Pat is 5 years older than Melissa. If Jim is y years old, how old is Pat? Start along with Jim's age, y, because he appears to be the young
4x-5y+16=0
#triple integral of x^2+y^2+z^2 over 0
Interpretations of derivatives. Example: Find out the equation of the tangent line to x 2 + y 2 =9 at the point (2, √5 ) .
how do i understand algebra? whats the formula i just dont get it
How many arrangements can be made from the letters of the word " VENUS " such that the order of the vowels remains the same?
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Consider the following multiplication in decimal notations: (999).(abc)=def132 ,determine the digits a,b,c,d,e,f. solution) a=8 b=6 c=8 d=8 e=6 f=7 In other words, 999 * 877 = 8
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