Question

Amy and Ben share £21 between them in the ratio 5 : 2. How much does Amy get?

Answer 1

Answer:

✑ $\underline{ \underline{ \sf{First ,\: Let's \: learn \: about \: the \: ratio}}} :$

Let us consider , there are 30 boys and 40 girls in a school. So, the ratio of number of boys to number of girls = $\sf{ \frac{30}{40} = \frac{3}{4} = 3:4}$ and read as 3 is to 4. We can say , the ratio compares two of more quantities of same unit. Until two quantities have same units , it is meaningless to compare by ratio. So, to find the ratio of two quantities , it is necessary to express them in same unit or of same kind. Since , they are in division form. So ,ratio is unit less quantity. Thus , the ratio is a comparison of two quantities of the same kind in division which doesn't have any units. For example : $\sf{ \frac{a}{b}}$ is a ratio and is read as ' a is to b ' in which ' a : is antecedent and ' b ' is called consequent.

✎ $\underline{ \underline{ \sf{Now \: let's \: solve : }}}$

☪ $\underline{ \sf{Solution}} :$

£ 21 is to be divided between Amy and Ben in the ratio 5 : 2. So, let Amy get £ 5x and Ben get £ 2x.

Then , According to the question , $\text{5x +2x = 21}$

Solve for x :

⇝ $\sf{7x = 21}$

⇝ $\sf{ \frac{7x}{7} = \frac{21}{7} }$

⇝ $\sf{x = 3}$

The value of x is 3. Now , substitute the value of x in 5x :

Amy received £ 5x = 5 × 3 = £ 15 .

☥ $\boxed{ \boxed{ \tt{Our \: final \: answer \: is \bold{£ \: 15}}}}$

Hope I helped ! ツ

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