1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
d1i1m1o1n [39]
3 years ago
12

Paul is two years younger than Patricia. Daniel is 25% older than Patricia. Ten years ago, Daniel was 50% older than Patricia. H

ow old is Paul currently?
Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
5 0

We have 3 people: Paul, Daniel and Patricia. Let each name denote that person’s current age in years. Remember that % is the symbol for 1/100.


PAUL: (#A) Paul = Patricia – 2
DANIEL: 
(#B) Daniel = 125% * Patricia = 125 * (1/100) * Patricia = 1.25 * Patricia
(#C) Ten years ago, Daniel’s age at that time would have been Daniel’s current age – 10. IE “Daniel – 10”.
Ten years ago, Patricia’s age at that time would have been Patricia’s current age – 10. IE “Patricia – 10”. 
Ten years ago, Daniel’s age at that time (IE Daniel – 10) was 50% greater than Patricia’s age at the time (Patricia – 10). 
IE 

Daniel – 10 = 150% * (Patricia – 10)
Daniel – 10 = 1.50 * (Patricia – 10)
Daniel – 10 = 1.50 * Patricia – 1.50 * 10
Daniel – 10 = 1.50 * Patricia – 15
Daniel = 1.50 * Patricia – 15 + 10
Daniel = 1.50 * Patricia – 5


So now we have 3 equations in 3 unknowns:
(A) Paul = Patricia – 2
(B) Daniel = 1.25 * Patricia
(C) Daniel = 1.50 * Patricia – 5


Solve equations B & C simultaneously
 1.25 * Patricia = 1.50 * Patricia – 5
 1.25 * Patricia – 1.50 * Patricia = – 5
– 0.25 * Patricia = – 5
 Patricia = (– 5) / (– 0.25) 
Patricia = + 20

So now we can write the 3 people’s ages:
(a) Patricia = 20
(b) Paul = Patricia – 2 = 20 – 2 = 18
(c) Daniel = 1.25 * Patricia = 1.25 * 20 = 25

<span>
</span>

<span>Finally, we check our solution against the original question. </span>
Paul is two years younger than Patricia. ……… 20 – 2 = 18 ✔
Daniel is 25% older than Patricia. ……… 25 = 125% * 20 ✔
Ten years ago, Daniel was 50% older than Patricia. 25 – 10 = 150% (20– 10) ✔


Hope that helped :)

You might be interested in
Find The Measure Of D
Leviafan [203]

Answer:

138 Degrees

Step-by-step explanation:

Because it is adjacent to the 42 degrees, just subtract 42 from 180 to get 138 degrees.

3 0
3 years ago
Read 2 more answers
Can someone please help me
AysviL [449]
Going from the top of the right side down it would be: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
5 0
3 years ago
Solve x^2 - x = 2 using the quadratic formula. Show your work.
lesya [120]
The quadratic formula is the result of completing the square for ax^2+bx+c=0 when a,b, and c are unknown values.  This result is:

x=(-b±√(b^2-4ac))/(2a), we have x^2-x-2=0 so

x=(1±√(1+8))/2

x=(1±√9)/2

x=(1±3)/2

x=-1 and 2
8 0
3 years ago
What function is equivalent to g(x)=x2+15×-54
anastassius [24]

Answer:

not quite sure the specifc answer of this question at this time

Step-by-step explanation:

3 0
3 years ago
The area of a square is 9/16 in2. What is the perimeter of the square
Alekssandra [29.7K]

Answer:

3 in²

Step-by-step explanation:

The fraction 9/16 is equal to the equation 9 ÷ 16.

9 ÷ 16 = 0.5652

Lets find the square root of 0.5652

\sqrt{0.5652} = 0.75

So the length of one side is 0.75 in²

Now we'll multiply this by 4, for the length of the 4 equal sides.

0.75 x 4 = 3.

This means the perimeter is 3 in².

5 0
3 years ago
Other questions:
  • Pls help any help is appreciated
    12·1 answer
  • Find the area of the triangle SHOW WORK
    15·1 answer
  • If ABC is reflected across the y-axis, what are the coordinates of A’?
    11·2 answers
  • Which diagram best represents the following expression? 2(n - 1) + 1 W. X. Y. Z.
    6·2 answers
  • PLEASE NEED HELP....I NEED TO FINISH IN ABOUT AN HOUR....PLEASE
    9·1 answer
  • Marty makes $1,050 weekly working as a plumber. After being hit by a car, he requires back surgery. Marty is billed $145,000 for
    12·1 answer
  • Solve for B<br> ab +c=d
    11·2 answers
  • What the value of the angle marked with x is
    12·2 answers
  • Please help me to answer
    5·2 answers
  • Jenny is preparing a roast chicken dinner in honour of her daughter coming back for the holidays after studying abroad. Her daug
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!