2 years ago

Split £20 in the ratio 2:3

Mathematics

1 answer:

ValentinkaMS [17]2 years ago

3 0

Hi friend,

The objective is to divide $20 in 2:3 ratio.

One part be 2x, another part is 3x

Sum of them = 20

2x + 3x = 20

5x = 20

x=4

So therefore one part must be 2x = 2 x 4 = 8

Another part = 3x = 3 x 4 = 12

Hence it is divided in 2:3 ratio.

Hope my answer is helpful to u. :)

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Bobby put 1/3 of his lawn mowing money into his savings and uses the remaining 2/5 to buy a video game. If he has $12 left, how

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Given:

Bobby put 1/3 of his lawn mowing money into his savings

He uses the remaining 2/5 to buy a video game.

He has $12 left.

To find:

The amount did he have at first.

Solution:

Let x be the initial amount.

Bobby put 1/3 of his lawn mowing money into his savings. So, the remaining amount is

$x-\dfrac{1}{3}x=\dfrac{2}{3}x$

He uses the remaining 2/5 to buy a video game. Then the remaining amount is

$Remaining=\dfrac{2}{3}x-\dfrac{2}{3}x\times \dfrac{2}{5}$

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$Remaining=\dfrac{6x}{15}$

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It is given that the remaining amount is $12.

$12=\dfrac{2x}{5}$

$12\times 5=2x$

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Divide both sides by 2.

$\dfrac{60}{2}=x$

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Therefore, Bobby have $30 at first.

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