Question

diride 660cm in the ratio of 5:6​

Answer 1

Answer:

Thus, the measure 660 cm is divided into 300 + 360 in the ratio of 5:6

Step-by-step explanation:

Equations

We are required to divide 660 cm in the ratio 5:6, or 5/6.

Let's call:

x = first part of 660

660 - x = second part of 660

The ratio between them is 5/6.

$\displaystyle \frac{x}{660-x}=\frac{5}{6}$

The above equation will result in x as the smaller part of 660.

Multiply by (660-x)*6 to eliminate denominators:

$\displaystyle (660-x)*6\cdot\frac{x}{660-x}=(660-x)*6\cdot\frac{5}{6}$

Operating:

$6x=(660-x)*5$

$6x=3300-5x$

Simplifying:

$6x+5x=3300$

$11x=3300$

Solving:

$\displaystyle x=\frac{3300}{11}=300$

The other part is 660 - 300 = 360

Thus, the measure 660 cm is divided into 300 + 360 in the ratio of 5:6