Question

Divide $350 in the ratio 4 : 3

Answer 1

Let common ratio in 4:3 be x
Hence division is
4x and 3x
Now total amount is 350
Hence
$4x + 3x = 350 \\ 7x = 350 \\ x = \frac{350}{7} \\ x = 50$
Hence ratio is
4x=4×50=200
3x=3×50=150

Answer 2

$\boxed{\boxed{\large\mathbf{200 ; 150}}}$
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$\underline{\underline{\huge\mathfrak{Solution :}}}$

We need to divide $ 350 into a ratio of 4:3

$\textsf{let the common ratio be}$$\mathbf{x}$

Then the ratio be $\mathbf{4x}$ and $\mathbf{3x}$

$\underline{\mathsf{Now,}}$

$\mathsf{=> 4x + 3x = 350}$

$\mathsf{=> 7x = 350}$

$\mathsf{=> x = \large{\frac{350}{7}}}$

$\boxed{\large\mathsf{x = 50}}$

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Now,

$\large\mathsf{4x = 4(50) = \textdollar 200}$

$\large\mathsf{3x = 3(50) = \textdollar 150}$

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