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Andreyy89
3 years ago
9

3 people share a sum of money in a ration of 3:5:7 If one recieves 10 more than the other, what is the amount shared

Mathematics
1 answer:
Andrej [43]3 years ago
6 0

Answer:

We have the ration:

3:5:7

This means that, if they receive $15, then:

Person A will get $3

Person B will get $5

Person C will get $10

Let's then define the amount of money shared as:

Amount = K*$15

where we want to find the number K.

In this scenario, each they will get:

Person A : $3*K

Person B: $5*K

Person C: $7*K

Now, we know that one of them gets "10 more than the other"

(The problem here is that we do not know exactly who receives more than who, i will suppose that person B receives $10 more than person A)

then we can have:

$5*K = $10 + $3*K

solving this for K, we have:

$5*K - $3*K = $10

$2*K = $10

K = $10/$2 = 5

Then the amount shared, in this situation, is:

Amount = K*$15 = 5*$15 = $75.

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3 years ago
The measures of three angles of a triangle are given by (8x - 5), (2x)º, and (3x – 10). What is the measure of the largest angle
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Step-by-step explanation:

We should note that the sum of the angles that are in a triangle is equal to 180°, therefore we will add the angles given and equate them to 180°. This will be:

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x = 195/13

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The angles are:

8x - 5 = 8(15) - 5 = 120 - 5 = 115°

2x = 2(15) = 30°

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Therefore, the largest angle is 115°

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6 0
3 years ago
Read 2 more answers
A box contains 9 green balls, 16 red balls, 9 white balls, and 6 pink balls. What is the probability of drawing a pink ball out
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This is an example of "classical probability". Whenever the probability of all events is the same, then the probability is calculated by dividing the number of "favorable events" of total events.

For this problem, the total number of events is the total number of balls, it is 40. The number of favorable events it the number of pink balls, it is 6.

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