Question

How do you $£700$ into the ratio $5:3:2$?

Answer 1

This question is related to the topic of ratio. In this question we need to divide $£700$ into the ratio $5:3:2$. To solve this question we should have knowledge of definition of ratio and know to work with ratios. To solve this we should also know to apply division, multiplication and addition. This is a very basic problem to try once before looking at a complete solution. In this question we just have to add all ratios and divide $£700$ with sum. After which we multiply each ratio to reach the result.

Complete step by step solution:
Let us try to solve this question which is asked to divide
$£700$ in a ratio of $5:3:2$. By ratios we mean comparison between two or more quantities of the same type, it expresses one quantity as a fraction of another. To solve this question we first assume $£700$ to $x$. After each ratio becomes $5x$, $3x$ and $2x$ part of $£700$.
After adding up all and getting the value of $x$ which is one part of $£700$.
Let assume that one part of $£700$ be $x$.
We have to divide the $£700$ ratio $5:3:2$.
So we have to divide $£700$ into parts of $5x$, $3x$ and $2x$.
So adding up $5x$, $3x$ and $2x$. We will get $£700$.
$5x + 3x + 2x = 700 \\\ 10x = 700 \\\$
Now, dividing both side of equation by $10$, we get $x$ equal to
$x = 70$
So the $£700$ divide into ratio $5:3:2$ as follows
$5x = 5 \times 70 = 350 \\\ 3x = 3 \times 70 = 210 \\\ 2x = 2 \times 70 = 140 \\\$

Note: These types of questions based on ratio topics are very easy. Ratio is a very useful topic. It is used in questions from topics of percentage etc. So having a very good grasp on the topic of ratio will be helpful in solving questions on percentage.