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Ann [662]
2 years ago
9

In the EXPLORE online library, the ratio of the number of novels to that of dictionaries is 2:3 and the total number of novels i

s 624. If Joe buys more novels and the ratio becomes 7:3, then how many novels have been bought in total?
Computers and Technology
1 answer:
bonufazy [111]2 years ago
3 0

Answer:

Answer is 2184

Explanation:

1st of all we need to know the total number of novels in the library if I have it with a ratio of one meaning:

2---------624

1----------???

(1×624)÷2 =312

Meaning with a ratio of 1 I'll have 312

Take the 312 and multiply with 7

It will give you 2184

That's the number of Novels which were bought by joe

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Explanation:

1) To answer that, you should have to know The Rouché-Capelli Theorem. This theorem establishes a connection between how a linear system behaves and the ranks of its coefficient matrix (A) and its counterpart the augmented matrix.

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<em>E.g.</em>

\left\{\begin{matrix}x-3y-2z=6 \\ 2x-4y-3z=8 \\ -3x+6y+8z=-5  \end{matrix}\right.

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A=\begin{pmatrix}1 & -3 &-2 \\  2& -4 &-3 \\ -3 &6  &8 \end{pmatrix} B=\begin{pmatrix}6\\ 8\\ 5\end{pmatrix}

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rank(A|B)=\left(\begin{matrix}1 & -3 & -2 \\0 & 2 & 1 \\0 & 0 & \frac{7}{2}\end{matrix}\right)=3

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