Question

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 is 624. If Joe buys more novels and the ratio becomes 7:3, then how many novels have been bought in total?

Answer 1

Using a system of equations, it is found that 1530 more novels have been bought in total.

For the system, we have that:

• x is the number of novels.
• y is the number of dictionaries.

The ratio of the number of novels to that of dictionaries is 2:3, hence:

$\frac{x}{y} = \frac{2}{3}$

$3x = 2y$

$y = \frac{3x}{2}$

Total number of novels is 624, hence:

$x = 624$

$y = \frac{3}{2} \times 624 = 936$

Buys z more novels, and the ratio becomes $\frac{7}{3}$, hence:

$\frac{624 + z}{923} = \frac{7}{3}$

$1872 + 3z = 6461$

$z = \frac{6461 - 1872}{3}$

$z = 1530$

1530 more novels have been bought in total.

A similar problem is given at brainly.com/question/17096268