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
dolphi86 [110]
3 years ago
13

Find the equation that best represents the following word problem: In a certain freshman class, the number of girls is 83 less t

han twice the number of boys (b). The total number of students in that freshman class is 259. How many boys and girls are in that class?
Mathematics
1 answer:
N76 [4]3 years ago
7 0

Answer:

g = 2b-83

b+g=259

Number of boys = 114

Number of girls = 145

Step-by-step explanation:

Let the number of boys in the class = b

Now, as per question statement,

Number of girls is 83 less than twice the number of boys.

Representing in the form of equation.

Let number of girls = g

g = 2b-83 ....... (1)

Also, given that total number of students in the class = 259

i.e. b+g=259

Putting value of g using equation (1):

\Rightarrow b+2b-83=259\\\Rightarrow 3b-83=259\\\Rightarrow 3b=259+83\\\Rightarrow 3b=342\\\Rightarrow \bold{b=114}

So, number of boys, <em>b = 114</em>

Putting value of b in equation (1) to find the value of g.

\Rightarrow g = 2(114)-83 \\\Rightarrow g = 228-83\\\Rightarrow \bold{g = 145}

So, number of girls, <em>g = 145.</em>

Hence, the answer is:

<em>Number of boys = 114</em>

<em>Number of girls = 145</em>

You might be interested in
What is the length of side AC of the triangle?
ryzh [129]

Answer:

AC = 25 units

Step-by-step explanation:

Given ∠ A = ∠ C then the triangle is isosceles and BC = AB , that is

7x - 1 = 5x + 5 ( subtract 5x from both sides )

2x - 1 = 5 ( add 1 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Then

AC = 6x + 7 = 6(3) + 7 = 18 + 7 = 25 units

3 0
3 years ago
Need help is due right now : , ( I’m not good with math
Aneli [31]

kjkk

Step-by-step explanation:

Jjo

7 0
2 years ago
PLEASE<br>Find the value of x.
Nadusha1986 [10]

Answer:

45 degrees

Step-by-step explanation:

45 is half of 90, 90 is a right angle

8 0
3 years ago
Wich is greater 4\10 or 32\10 explain how u know·
Zigmanuir [339]

Answer:

32/10

Step-by-step explanation:

simplify them

4/10= 2/5= 0.4 (as a decimal)

32/10= 3.2 (as a decimal)

3.2>0.4

4 0
2 years ago
12. Higher Order Thinking What reflection of the parallelogram ABCD results in image ABCD? of ind 3 7 2 4 6​
makvit [3.9K]
37 for the school + a gtr
4 0
3 years ago
Other questions:
  • 26.891 to the nearest ten thousands place
    11·1 answer
  • how does multiplying powers with the same base differ from multiplying powers with the same exponent but different bases?
    8·1 answer
  • What is the slope of the lone passing through the points (2,7) (-1.3)
    15·1 answer
  • A marketing research company is estimating the average total compensation of CEOs in the service industry. Data were randomly co
    5·1 answer
  • 20 times 70 equals? Please help, explain this to me.
    5·2 answers
  • A duck has 1,100 feathers. It went for a swim in a pond and lost 2/100 of its feathers. How many feathers did it lose?
    6·1 answer
  • Using the Distance Formula
    9·1 answer
  • 2(x-4) = 5 (x+24) rewrite the equation in slope-intercept form
    11·1 answer
  • PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
    10·2 answers
  • What is the definition of unit rate
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!