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
vodka [1.7K]
1 year ago
6

Last month David and Mary saved some money in a ratio of 3:5. This month they saved an additional $154 together, and David now h

as three times as much money as he had last month and Mary has two times as much as she had last month. How much money did they save last month?
Mathematics
1 answer:
daser333 [38]1 year ago
8 0

Answer:

  • David: $42
  • Mary: $70

Step-by-step explanation:

The two relations can be translated to a system of linear equations in two variables. These can be solved in any of the usual ways.

__

<h3>setup</h3>

Let d and m represent the amounts David and Mary saved last month, respectively.

The first relation tells us

  d/m = 3/5   ⇒   5d = 3m   ⇒   5d -3m = 0

The second relation tells us that adding 3 times what David had last month to 2 times what Mary had last month will give a total that is 154 greater than the sum of their funds last month.

  d +m + 154 = 3d +2m   ⇒   2d +m = 154

__

<h3>solution</h3>

We can add 3 times the second equation to the first to eliminate m.

  (5d -3m) +3(2d +m) = (0) +3(154)

  11d = 462 . . . . . . . . simplify

  d = 42 . . . . . . . . . divide by 11

Using the second equation, we can find Mary's savings:

  m = 154 -2d

  m = 154 -2(420 = 70

David saved $42 last month; Mary saved $70.

You might be interested in
suppose the temperature outside is dropping 2.5 degrees each hour how much will the temperature change in 6 hours​
mote1985 [20]

Answer:

15 degrees

Step-by-step explanation:

2.5x6= 15

8 0
3 years ago
Read 2 more answers
Match the concept with its definition and characteristics. i. A set of instructions (codes) that perform a specific task. ii. A
kogti [31]

First definition matches with expression, second matches with equation ,third matches with algorithm and fourth matches with equation.

Given  four definitions of equation, expression, algorithm but mixed.

We have to match the definitions with appropriate term.

We know that expression is a combination of numbers, symbols, fraction, coefficients, indeterminants mostly not found in equal to form. It exhibits a behaviour only.

Algorithm is a computer programming to do a specific task in a predetermined way.

Equation is a relationship between two variables expressed in equal to form. In this we have to put the value of variables and the equation gives us a value.

Hence  First definition matches with expression, second matches with equation ,third matches with algorithm and fourth matches with equation.

Learn more about algorithm at brainly.com/question/13800096

#SPJ4

7 0
1 year ago
Which angle’s measure is equal to the sum of the meaures of ∠BAC and ∠BCA? ∠CBA ∠CBE ∠DAC ∠BCF
expeople1 [14]
The answer is B or CBE
4 0
3 years ago
Read 2 more answers
Which gives the correct values for points A, B, C, and D?<br>​
insens350 [35]

Answer:

The thing that gives corrects values for point A,B,C and D is....

Add a pic

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Can someone help me please ❤️
Dmitry_Shevchenko [17]

Answer: you are in that school too?

the image is the school.

wow

Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
Other questions:
  • yuri has a rope 12 meters long. he cuts it into pieces that are each 2 meters long. what fraction of the rope is one piece
    5·1 answer
  • A piece of string is 325 centimeters long. You need a string to be 1 1/4 meters long. How many centimeters should you cut off?
    14·1 answer
  • What is <br> not a characteristic of a point
    5·1 answer
  • Find BD. Please guys I need help
    6·1 answer
  • Combine like terms to create an equivalent expression 2/5m-4/5-3/5m
    5·1 answer
  • A total of 937 people attended the play.
    7·1 answer
  • Two numbers are graphed on the line below. Consider the inequality t
    12·2 answers
  • Expand to write an equivalent expression -1/2 (-6x+8y) <br><br>(Pleasee help i need an answer rqqqq)
    8·1 answer
  • YALL PLEASE HELP I WILL MARK YOU AS BRAINLEST
    9·1 answer
  • A circular flower bed is 24 m in diameter and has a circular sidewalk around it 3 m wide. Find the area of the sidewalk in squar
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!