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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>

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