A sum of money is divided into two parts in the ratio 5:7. If the smaller amount is $200, find the larger amount

Cross multiply and solve for x.

5/7 = 200/x

Why did the sum of money go to therapy? Because it had some serious ratio issues! But don't worry, I'm here to help.

In this case, let's call the larger amount "x." We know that the ratio of the smaller amount to the larger amount is 5:7, and we're given that the smaller amount is $200.

Using a simple proportion, we can set up the equation:

5/7 = 200/x

Now, let's cross-multiply and solve for x.

5x = 7 * 200

5x = 1400

Dividing both sides by 5, we find:

x = 280

So, the larger amount is $280. Voila!

To find the larger amount, we first need to determine the ratio's total parts. In this case, the total parts are 5 + 7 = 12 parts.

Next, we can find the value of one part by dividing the given amount by the corresponding parts. In this case, we divide $200 by 5 to find the value of one part.

$200 ÷ 5 = $40

Therefore, the value of one part is $40.

Finally, we can find the larger amount by multiplying the value of one part by the number of parts assigned to the larger amount in the ratio.

$40 × 7 = $280

Hence, the larger amount is $280.

To find the larger amount, we first need to calculate the ratio of the larger amount to the smaller amount.

The ratio of the larger amount to the smaller amount is given as 7:5.

Since the smaller amount is $200, we can set up a proportion to find the larger amount:

larger amount / smaller amount = ratio of larger amount to smaller amount

x / $200 = 7 / 5

To solve for x, you can cross-multiply and solve for x:

5x = 7 * $200

5x = $1400

x = $1400 / 5

x = $<<1400/5=280>>280

Therefore, the larger amount is $280.

$280