All categories

3 years ago

Please help me with this problem in the picture.

Mathematics

2 answers:

vaieri [72.5K]3 years ago

6 0

B + g = 120
b = 3/5g

3/5g + 5/5g = 120
8/5g = 120
g = 120 / (8/5)
g = 120 * 5/8
g = 600/8 = 75 <== 75 girls

b = 3/5g
b = 3/5(75)
b = 225/5 = 45 <=== 45 boys

RSB [31]3 years ago

6 0

Let the number of girls be x.

Number of boys = $\frac{3}{5}x$

Number of children = 120

$x + \frac{3}{5}x = 120$

$\frac{5x + 3x}{5} = 120$

$8x = 600$

$x = \frac{600}{8} = \frac{300}{4} = \frac{150}{2} = 75$

Hence, the number of boys are $\frac{3}{5}*75 = 3*15 = 45$ boys.

You might be interested in

A chemical company makes two brands of antifreeze. The first brand is 35% anti freeze, and the second brand is 85% pure antifree

coldgirl [10]

Answer: There are 30 gallons of anti freeze of first brand and 120 gallons of anti freeze of second brand.

Step-by-step explanation:

Since we have given that

Percentage of anti freeze in first brand = 35%

Percentage of anti freeze in second brand = 85%

Percentage of anti freeze in mixture = 75%

Total number of gallons of mixture = 150 gallons

We will use " Mixture and Allegation":

First brand Second brand

35% 85%

75%

------------------------------------------------------------------

85%-75% : 75%-35%

10 : 40

1 : 4

So, Number of gallons of anti freeze in first brand is given by

$\dfrac{1}{5}\times 150\\\\=30\ gallons$

Number of gallons of anti freeze in second brand is given by

$\dfrac{4}{5}\times 150\\\\=40\times 3\\\\=120\ gallons$

Hence, there are 30 gallons of anti freeze of first brand and 120 gallons of anti freeze of second brand.

4 0

4 years ago

Consider the X equals three forth in Y equals 1/2 which statement is true about X plus Y

earnstyle [38]

X+y=1 and 1/4 this is because if you split one half to 2/4 then add 2+ 3 it is 5/4 which is one and one fourth

7 0

3 years ago

In ΔXYZ, ∠X=59° and ∠Y=21°. ∠XWZ=90° and XY=6.1. Find the length of XW to the nearest 10th.

dlinn [17]

Answer:

this is question is wrong it you typed it wrong

how come the triangle named XYZ and the angle wxz and if there 2 triangles one must be a failure because there is no triangle which all his angels equals more than 180°

look again and if possible take a picture of the question

3 0

3 years ago

Your job is to sort and sack marbles for sale . A bag contains 90 marbles, some red and some blue . If there are 60 blue marbles

Julli [10]

I’m sorry if this is wrong, but wouldn’t it be 30;60? Again if I’m wrong someone else feel free to answer and correct me

8 0

3 years ago

What two numbers multiply to -112 and add up to -54

SVETLANKA909090 [29]

Xy = -112
x + y = -54

$xy = -112$
$\frac{xy}{x} = \frac{-112}{x}$
$y = \frac{-112}{x}$

$x + y = -54$
$x + \frac{-112}{x} = -54$
$\frac{x^{2}}{x} + \frac{-112}{x} = -54$
$\frac{x^{2} - 112}{x} = -54$
$x^{2} - 112 = -54x$
$x^{2} + 54x - 112 = 0$
$x^{2} + 56x - 2x - 112 = 0$
$x(x) + x(56) - 2(x) - 2(56) = 0$
$x(x + 56) - 2(x + 56) = 0$
$(x - 2)(x + 56) = 0$
$x - 2 = 0$ $or$ $x + 56 = 0$
$x = 2$ $or$ $x = -56$

  x + y = -54
  2 + y = -54
- 2   - 2
y = -56
  (x, y) = (2, -56)

  or

x + y = -54
  -56 + y = -54
+ 56 + 56
y = 2
  (x, y) = (-56, 2)

The two numbers that multiply to -12 and add up to -54 are -56 and 2.

6 0

4 years ago

Read 2 more answers