Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 25, 2023

Solve for the value of $x$ where $100=4:20$ .

STEP 1

Assumptions1. The equation is in the form of a ratio, where $100:x =420$ . . We are solving for $x$ .

STEP 2

We can solve for $x$ by setting up a cross multiplication. In a ratio $a:b = c:d$ , the cross multiplication is $a \times d = b \times c$ .
$100 \times20 =4 \times x$

STEP 3

Now, perform the multiplication on the left side of the equation.
$2000 = \times x$

STEP 4

To isolate $x$ , we divide both sides of the equation by4.
$\frac{2000}{4} = x$

STEP 5

Finally, perform the division to solve for $x$ .
$x = \frac{2000}{4} =500$ So, $x =500$ .

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