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Dovator [93]
2 years ago
13

The ratio of boys to girls in Jamal's class is 3:2. If four more girls join the class, there will be the same number of boys and

girls. What is the number of boys in the class?
Mathematics
1 answer:
olchik [2.2K]2 years ago
7 0

Answer:

12 boys

Step-by-step explanation:

From the above question:

Number of boys = 3

Number of girls = 2

Boys: Girls

3:2

Let :

a = boys

b = girls

Hence, a : b = 3 : 2

a/b = 3/2  

Cross Multiply

2a = 3b .......... Equation 1

a = 3b/2

If four more girls join the class, there will be the same number of boys and girls

Hence,

a: b + 4 = 3 : 3

a/b + 4 = 3/3

Cross Multiply

3a = 3(b + 4)

3a = 3b + 12 ........ Equation (2)

From Equation 1: a = 3b/2

Substitute 3b/2 for a in Equation 2 we have:

3a = 3b + 12 .........Equation 2

3(3b/2) = 3b + 12

9b/2 = 3b + 12

Cross Multiply

9b = 2(3b + 12)

9b= 6b + 24

9b - 6b = 24

3b = 24

b = 8

Substitute 8 for b in Equation 1

a = 3b/2

a = 3 × 8/2

a = 24/2

a = 12

Therefore, the number of boys in the class is 12

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White raven [17]

Answer:

24.38 meters to the nearest hundredth.

Step-by-step explanation:

1 foot is approximately  30.48 cm.

So 80 feet = 80 * 30.48 cm.

In meters this is (80 * 30.48) / 100

=  24.38 m.  


8 0
3 years ago
AEFG - ALMN. Find the ratio of AEFG to ALMN.<br><br> A)1:4<br> B)1:2<br> C)2.1<br> D)4:1
vovikov84 [41]

Answer:

C)2 : 1

Step-by-step explanation:

AEFG ≈ ALMN

FG / MN = 4 / 2 = 2/1

So the ratio of AEFG to ALMN = 2 / 1 or 2 : 1

6 0
3 years ago
How many 60 degree angles does it take to make a full turn?
Ksenya-84 [330]
It take 6 60 degree turn to do a full turn
7 0
3 years ago
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Which expressions are equivalent to Negative 9 (two-thirds x + 1)? Check all that apply.
Sav [38]

<u><em>Answer:</em></u>

<u><em /></u>-9(\frac{2}{3}x) + 9(1)\\  \\-6x + 9

<u><em>Explanation:</em></u>

<u>Before we begin, remember the following rules:</u>

<u>1- Distribution property:</u>

<u />a(b+c) = ab+ac

<u>2- Simplification of fractions:</u>

<u />\frac{xy}{yz}=\frac{x}{z}

<u>3- Signs in multiplication:</u>

+ve * +ve = +ve

-ve * -ve = +ve

+ve * -ve = -ve

<u>Now, for the given problem, we have:</u>

<u></u>9 (\frac{2}{3}x + 1)

<u>Starting with the distributive property:</u>

<u />-9 (\frac{2}{3}x +1) =  -9(\frac{2}{3}x) - (-9)(1) = -9(\frac{2}{3}x) + 9(1)

..................>This corresponds to option 1

<u>Now, we simplify the output from the above step:</u>

<u />-9(\frac{2}{3}x) + 9 = \frac{-9*2}{3}x + 9 = -6x+9

................> This corresponds to option 5

Hope this helps :)

4 0
3 years ago
Read 2 more answers
william is thinking of two numbers both numbers are square numbers greater than 1 the sum of numbers is 100 write down two numbe
zheka24 [161]

Answer:

Step-by-step explanation:

At first,

Let start writing the squares of number 0 to 10,

0²=0

1²=1

2²=4

3²=9

4²=16

5²=25

6²=36

7²=49

8²=64

9²=81

10²=100

Now,

According to your question,

  1. The two numbers should be square numbers
  2. They should be greater than 1.
  3. Their sum should be 100.

Hence, your given conditions matches with the numbers 64 and 36.

Therefore, the numbers are 64 and 36.

  • 64 and 36 are greater than 1.
  • 64 is a square of 8 and 36 is the square of 6.
  • 64+36=100
3 0
3 years ago
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