Question

The ratio of the number of apples and oranges are 9:11 . If 20 apples are eaten , the ratio becomes 2:3 find the number of Orange

Answer 1

Answer:

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Answer 2

Answer:

The number of oranges are $132$.

Step-by-step explanation:

Given that the ratio between the number of apples and orange is $9:11$

Let the number of apples be $9x$

Let the number of apples be $11x$

It is given that $20$ apples are eaten and the ratio changed to $2:3$

This can be stated as :

$\frac{9x-20}{11x}=\frac{2}{3}$

Cross multiplying, $3(9x-20)=2*11x$

$3(9x-20)=22x\\27x-60=22x$

Taking similar terms together,

$27x-22x=60\\5x=60$

From this, we get the value of $x$ as,

$x=\frac{60}{5}\\ x=12$

Hence, the number of apples $=9x$

$=9*12\\=108$

The number of oranges $11x$

$=11*12\\=132$

Hence, the number of oranges are $132$.

Ratios in real life:

Ratios are ideal examples of math in the real world since they represent mathematical relationships.

Three typical, everyday activities—grocery shopping, cooking, and travelling around—involve ratios, which are not only common but also necessary for accurate, economical performance.