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If i have to share $60 among Shabaaz, Rienzi, and Rico so that Shabaaz gets $6 more than either Rienzi or Rico, who got equal shares. How much money did Shabaaz receive??​

1 Answer

3 votes

Answer:

Shabaaz receives $24.

Explanation:

Let's denote the amount of money that Shabaaz, Rienzi, and Rico each receive as S, R, and R, respectively. According to the information given:

Shabaaz gets $6 more than either Rienzi or Rico:

So, we can write this as S = R + $6 and S = C + $6.

They got equal shares:

This means that Rienzi (R) and Rico (C) receive the same amount.

Now, let's set up an equation to represent the total amount of money they share, which is $60:

S + R + C = $60

We can also express S in terms of R and C using the information from the first statement:

S = R + $6

S = C + $6

Now, we can substitute one of the equations into the total equation:

(R + $6) + R + C = $60

Combine like terms:

2R + C + $6 = $60

Now, subtract $6 from both sides of the equation:

2R + C = $60 - $6

2R + C = $54

Since R and C are equal (they got equal shares), we can write this as:

2R + R = $54

3R = $54

Now, divide both sides by 3 to find the value of R (which represents the equal share each of them gets):

R = $54 / 3

R = $18

So, Rienzi and Rico each receive $18.

Now, let's find how much Shabaaz receives using the relationship we established earlier:

S = R + $6

S = $18 + $6

S = $24

Shabaaz receives $24.

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