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pantera1 [17]
2 years ago
15

A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. How many

blue marbles are in the bag? Explain your reasoning.
Mathematics
1 answer:
Olin [163]2 years ago
8 0

Given:

Total number of marbles in the bag = 150

There are 21 blue marbles for every 4 white marbles.

To find:

The number of blue marbles in the bag.

Solution:

Since, there are 21 blue marbles for every 4 white marbles, therefore the ratio of blue marble to white marbles is 21:4.

Let the number of blue marbles be 21x and white marbles be 4x.

Total number of marbles in the bag = 150

21x+4x=150

25x=150

Divide both sides by 25.

x=\dfrac{150}{25}

x=6

Now,

\text{Blue marbles}=21x

\text{Blue marbles}=21(6)

\text{Blue marbles}=126

Therefore, the number of blue marbles is 126.

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Answer:

Raisins = 25 kg

Nuts = 15 kg

Step-by-step explanation:

Given that:

Kilograms of snack to be made = 40 kg

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Price of 40 kg would be = 4.75 * 40 = $190

Let,

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y be the kilograms of nuts

According to given statement;

x+y=40        Eqn 1

4.00x+6.00y=190      Eqn 2

Multiplying Eqn 1 by 4

4(x+y=40)

4x+4y=160    Eqn 3

Subtracting Eqn 3 from Eqn 2

(4x+6y)-(4x+4y)=190-160

4x+6y-4x-4y=30

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Dividing both sides by 2

\frac{2y}{2}=\frac{30}{2}\\y=15

Putting y=15 in Eqn 1

x+15=40

x=40-15

x=25

Hence,

Raisins = 25 kg

Nuts = 15 kg

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