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Problem #1

Problem #1 Anna, Bryan and Philip are cousins. Anna’s age is one third of Bryan and Philip is five years older than Bryan. If the sum of the age of the cousins is 40, find the ages of each. Solution: Age of Bryan=X Age of Anna=x/3 Age of Philip=x+5 Sum of the ages=40

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Problem #1

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  1. Problem #1 Anna, Bryan and Philip are cousins. Anna’s age is one third of Bryan and Philip is five years older than Bryan. If the sum of the age of the cousins is 40, find the ages of each.

  2. Solution: Age of Bryan=X Age of Anna=x/3 Age of Philip=x+5 Sum of the ages=40 x/3+x+x+5=40 (7x+15)/3=40 7x+15=120 7x=105 X=15

  3. Age of Bryan=15years old • Age of Anna=5years old • Age of Philip=20 years old

  4. Problem#2 The sum of the digits of a two number is 7. When the digits are reversed then the number is decreased by 9. Find the number.

  5. z= let be the ones digit y= let be the tens digit x= let be the two digit number Equation: z+y=7 10y+z-9= 10z+y z=7-y but z=7-y 10y+7-y-9 = 10(7-y)+y 9y-2= 70-10y+y 9y+10y-y= 70+2 18y=72 y=4

  6. z+4=7 z=7-y z=7-4 z=3 X=10y+z 10(4)+3 X=43

  7. Problem #3 Kim and Cyndi are starting a business tutoring students in math. They rent an office for $400 per month and charge $40 per hour per student. If they have 15 students each for One hour per week . How much profit do they make together in a month? (assume 4 weeks per month)

  8. Solution 15 students ($40)(4weeks)-$400 =x X=15(40)(4)-400 600(4)-400 2400-400 $2000 gross profit per month

  9. 15 students (40)(4)-400 600(4)-400 2400-400 $2000 gross profit of Kim and Cyndi per month

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