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Law Incorporation [45]
3 years ago
11

A bag contains 120 marbles. Some are red and the rest are black. There are 17 red marbles for every 3 black marbles. How many re

d marbles are in the bag?
Mathematics
1 answer:
Helga [31]3 years ago
6 0

Given :

A bag contains 120 marbles. Some are red and the rest are black. There are 17 red marbles for every 3 black marbles.

To Find :

How many red marbles are in the bag.

Solution :

Let, number of red and black marbles are x and y respectively.

So, x + y = 120    ....1)

Now, it is given that there are 17 red marbles for every 3 black marbles.

So, 3x = 17y        ....2)

Putting value of x from equation 2) to equation 1), we get :

\dfrac{17y}{3}+y = 120\\\\\dfrac{20y}{3}=120\\\\y = 18\\\\x = 120 - 18\\\\x = 102

Therefore, the number of red and black marbles are 102 and 18 respectively.

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Twice a certain whole number subtracted from 3 times the square of the number leaves 133. Find the number
user100 [1]

Answer:

7

Step-by-step explanation:

"a certain whole number" is a number that we don't know, so pick a variable, let's use n

"Twice" means two times, so we'll use 2n for this.

"subtracted from" means the 2n will be AFTER the minus sign.

____ - 2n

What goes in front? "3 times the square of the number" 3n^2

Now we have 3n^2 - 2n

Lastly, we see the result is 133. So this gives us:

3n^2 - 2n = 133 To solve, subtract 133 from both sides of the equation.

3n^2 -2n - 133 = 0 Next FACTOR.

(3n + 19)(n - 7) = 0

3n+19=0 and n-7=0

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