Three sevenths of the students in class 4C are boys.There are 4 more girls than boys.How many boys are there in the class

I know what the answer is, but I can't tell you the mathematical way to get that answer.

I started with multiples of 7. 28 seemed a logical number of students in a class.

3/7 are boys, then (3/7) * 28 = 12

12 + 4 = 16

12 are boys and 16 are girls

12 + 16 = 28

total number of students ---- x

number of boys ----- (3/7)x
number of girls ------(4/7)x

(4/7)x = (3/7)x + 4
times 7, the LCD
4x = 3x + 28
x = 28

boys: (3/7)(28) = 12
girls = 28-12 = 16

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What is the probability of selecting a purple marble and then a white marble?
What is the probability of selecting two white marbles?
Is there a greater chance of selecting two white marbles in a row or two purple marbles in a row? Show your work.

What is the probability of selecting a purple marble and then a white marble?
What is the probability of selecting two white marbles?
Is there a greater chance of selecting two white marbles in a row or two purple marbles in a row? Show your work.

What is the probability of selecting a purple marble and then a white marble?
What is the probability of selecting two white marbles?
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Let's break down the problem step by step to find the number of boys in the class.

We know that three sevenths of the students in class 4C are boys. To find the number of boys, we first need to find the total number of students in the class:

1. Since three sevenths represents the fraction of boys, we can determine the fraction of girls in the class by subtracting that from one: 1 - 3/7 = 4/7.

2. We are also given that there are 4 more girls than boys. This means that the number of girls in the class is equal to the number of boys plus 4.

To find the number of boys, we can set up an equation using the information we have:

Number of boys = (Total number of students) × (Fraction of boys)
= (Total number of students) × (3/7)

We also know that the number of girls is equal to the number of boys plus 4:

Number of girls = Number of boys + 4

Now, let's substitute Number of boys and Number of girls with their respective equations:

(Number of students) × (3/7) = (Number of boys)
(Number of boys) + 4 = (Number of girls)

Since both equations represent the number of boys, we can equate them:

(Number of students) × (3/7) = (Number of boys) + 4

Now, we need to solve this equation to find the number of boys. However, without knowing the total number of students in class 4C, we can't find the exact solution. If you have the value for the total number of students in the class, we can proceed to calculate the number of boys.