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Alfred collects black and brown socks but loses a lot of them. If 60% of all his socks are brown, 20% of his brown socks are in

Ipatiy [6.2K]

Answer:

Alfred has 250 socks in his collection.

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

Based on the information given to us we can see that out of All his Brown socks he has 20% in the wash and the rest are in his drawer. Meaning 80% of the Brown socks are in his drawer. So we first need to find how many Brown socks are in the wash. We can solve this using the Rule of Three property as shown in the picture below.

120 drawer ⇒ 80%

x wash ⇒ 20%

$\frac{120*20}{80} = 30$

Now that we have the amount of Brown socks in the washer we can add that to the amount in the drawer to find the total amount of Brown socks.

$Br = 120+30\\Br = 150$

So we now know that there are a total of 150 Brown socks. Since the question states that the Brown socks are 60% of the total we can use the Rule of Three to find the total.

150 Brown ⇒ 60%

T Total ⇒ 100%

$\frac{150*100}{60} = T$

$250 socks = T$

Finally, we can see that Alfred has 250 socks in his collection.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

5 0

3 years ago

Triangles △ABC and △DEF are similar. Find the angles of these triangles if m∠A=100°, m∠B=30°.

Ira Lisetskai [31]

Answer:

angle A and angle D equals 100 degrees, angle B and angle E equals 30 degrees, and angle C and angle F equal 50 degrees.

Step-by-step explanation:

a triangle has to equal 180 degrees, and since they are similar, it should equal the same. Hope this helped you. :))

6 0

3 years ago

If the sides of a triangle are produced in order prove that the sum ofexterior angles so formed is equal to four right angles

Rashid [163]

Step-by-step explanation:

Let a, b, c be the measures of the interior angles and x, y, z be the measures of the exterior angles of the triangle. Where x and adjacent to a, y is adjacent to b and z is adjacent to c.

By interior angle sum postulate of a triangle:

a + b + c = 180°... (1)

Therefore, by remote interior angle theorem:

x = b + c.... (2)

y = a + c..... (3)

z = a + b.... (4)

Adding equations (2), (3) & (4)

x + y + z = b + c + a + c + a + b

x + y + z = 2a + 2b + 2c

x + y + z = 2(a + b + c)... (5)

From equations (1) & (5)

$x + y + z = 2 \times 180 \degree \\ x + y + z = 360 \degree \\ x + y + z = 4 \times 90\degree \\ x + y + z = 4 \: right \: angles$

Thus, the sum of exterior angles so formed is equal to four right angles.

Proved.

7 0

3 years ago

Solve the equation A = 21 h(c + d) for d.

dem82 [27]

Answer:

(A/21h) -c

Step-by-step explanation:

A= 21h(c+d)

A/21h = c+d

(A/21h) -c =d

7 0

3 years ago

Write 5 wholes and 9 ; 25 fifths as an improper fraction.

alina1380 [7]

Answer:

134/25

Step-by-step explanation:

5 9/25 > 5 * 25 = 125 + 9 = 134. > 134/25

8 0

4 years ago