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
professor190 [17]
3 years ago
12

The ratio of George's money and Tia's

Mathematics
1 answer:
8_murik_8 [283]3 years ago
6 0
<h3>Answer: 28 dollars</h3>

===================================================

Explanation:

G = amount of money George starts with

T = amount of money Tia starts with

Initially the ratio of their money is 9:4 so G/T = 9/4. Solve for G to get G = (9/4)T.

--------

After George spends 24 dollars he's left with (G-24) dollars. Tia gains 11 dollars so she has (T+11) dollars. They have the same amount of money after these two events occur, so G-24 = T+11.

Plug in G = (9/4)T and solve for T

G-24 = T+11

(9/4)T-24 = T+11 ... replace G with (9/4)T

4*[  (9/4)T-24 ] = 4*[ T+11 ] ... multiply both sides by 4 to clear out fraction

9T - 96 = 4T + 44 ... distribute

9T - 4T = 44 + 96

5T = 140

T = 140/5

T = 28

Tia started off with 28 dollars. We could stop here because your teacher is only asking about Tia's initial amount.

----------

If you want to find how much George started with, then plug T = 28 into G = (9/4)T to get...

G = (9/4)T

G = (9/4)*28

G = 2.25*28

G = 63

George started off with 63 dollars

The ratio of 63:28 reduces to 9:4 after dividing both parts by the GCF 7. This confirms the first fact we're given.

Notice how 63 drops to 63-24 = 39 after George spends $24. At the same time, Tia's amount increases to 28+11 = 39, which is the same as George's updated amount. Both facts match the description, so we have confirmed the answer.

You might be interested in
Decide if the following biconditional statement
garik1379 [7]

true because if you add up 4 90°you get 360

7 0
3 years ago
Read 2 more answers
Find a “solution” for an equation with two variables. Tell me an x, y ordered pair that is a solution (answer) for this equation
Finger [1]

Answer:

Step-by-step explanation:

A graph has a constant of proportionality of 7.2. Let y represent minutes and x represent miles.

What is the unit rate of the relationship?

Enter your answer, as a decimal, in the box

min/mi

pls help me

4 0
3 years ago
Helppppp me pleaseeeee
Andreyy89

Answer:

314- The unknown digit is 1

Step-by-step explanation:

16*314=5024

5024/16=314

Hope this helps ;) ❤❤❤

5 0
3 years ago
Read 2 more answers
A rectangle is four times as long as it is wide. If its length were diminished by 6 meters and its width were increased by 6 met
valkas [14]

Answer:

Length equals 16 and Width equals 4

Step-by-step explanation:

First let us create an equation. We can use L and W for length and width.

If the length is 4 times the width, then we end up with: L = 4W

It then says, " If its length were diminished by 6 meters and its width were increased by 6 meters, it would be a square."

Since a square has an equal length and width then we end up with:

L - 6 = W + 6

Knowing this we can just substitute the first equation into the second one leaving us with: 4W - 6 = W + 6

We then remove a W from both sides so that the right side is left with a 6, and add 6 to both sides to remove the -6 from the left one.

This leaves us with 3W = 12

W = 4, and if we put that into our first equation, L = 4W, then Length equals 16, and Width equals 4. We can check this by putting it into the 2nd equation. 16 - 6 = 4 + 6.

7 0
1 year ago
hank is working in a silver mine 10ft below the surface. he descends until he reaches a point 57ft below the surface. how many f
Dmitry [639]

Depth of Hank descends = The point he reached - the point where he worked initially

                                          = 57 - 10

                                          = 47 ft

Hence, Hank descends 47 ft.

3 0
2 years ago
Other questions:
  • Write the recursive formula for 6, 17, 28, 39, 50
    5·1 answer
  • What is the slope of the line that passes through the points (2, –3) and (–2, 5)?
    10·2 answers
  • Help with this problem please !!!!!
    11·2 answers
  • Find the area of the polygon 2cm 2cm 3cm in square centimeters​
    5·1 answer
  • Х<br> 32°<br> X =<br> degrees.<br> please
    14·2 answers
  • Hey lol i don't really need help on this cuz i could honestly look it up in the notes, but im lazy.
    5·1 answer
  • What is the 4th term of the sequence?
    9·1 answer
  • 100 POINTS!
    10·2 answers
  • Which relationship has a zero slope?
    13·2 answers
  • The graph of y = sqrt x is translated. The translation is defined by (x,y) + (x-3,y +1). Which is the graph of the translated im
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!