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Problem #1

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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

x/3+x+x+5=40

(7x+15)/3=40

7x+15=120

7x=105

X=15

- Age of Bryan=15years old
- Age of Anna=5years old
- Age of Philip=20 years old

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.

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

z+4=7

z=7-y

z=7-4

z=3

X=10y+z

10(4)+3

X=43

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)

Solution

15 students ($40)(4weeks)-$400 =x

X=15(40)(4)-400

600(4)-400

2400-400

$2000 gross profit per month

15 students (40)(4)-400

600(4)-400

2400-400

$2000 gross profit of Kim and Cyndi

per month