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viktelen [127]
3 years ago
10

A man shares a $1,200,00 inheritance between his 3 sons in ratio 1: 3: 6. Calculate the difference between the largest share and

the smallest share.
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
7 0

A man's inheritance money = $1200

Given :

He shared his inheritance between his 3 sons in the ratio 1:3:6

Then, the money the first son got :

= \tt \frac{1}{10}  \: of  \: 1200

=\tt  \frac{1}{10}  \times 1200

=\tt  \frac{1 \times 120}{10}

= \tt \frac{1200}{10}

\color{plum} =\tt\$ \: 120

▪︎Thus, the first son inherited $120.

Money the second son got :

= \tt \frac{3}{10}  \: of  \: 1200

= \tt \frac{3}{10}  \times 1200

=\tt  \frac{3 \times 1200}{10}

= \tt \frac{3600}{10}

\color{plum} =\tt \$360

▪︎Thus, the second son inherited $360.

Money the third son got :

=\tt  \frac{6}{10}  \: of  \: 1200

=\tt  \frac{6}{10}  \times 1200

= \tt \frac{6 \times 1200}{10}

= \tt \frac{7200}{10}

\color{plum} = \tt\$720

▪︎Thus, the third son inherited $720.

We know that :

The largest share = $720

The smallest share = $120

Difference between the largest and smallest share :

= \tt720 - 120

\color{hotpink}\tt = 600

<h3> ●=> Therefore :</h3>

▪︎<em>The difference between the largest and smallest share = 600</em>

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There are many ways to check your answer. One of them is to look at the given quadratic, which has no changes of sign in its coefficients. (They are all positive.) That means there can be no positive real roots, so already you know that x=0.5 won't work.

Also, the constant in the quadratic is the product of the roots, For your roots, their product is -7/4, so even multiplying by 4 (the leading coefficient in the given quadratic), you don't get anything like 20.

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