To solve this, we need to find how much more money Kim receives than Jen when $6480 is shared between them in the ratio 3:5.

Step 1: Add the parts of the ratio

The total ratio is $3 + 5 = 8$ parts.

Step 2: Find the value of one part

To find the value of one part, divide the total amount by the total parts: $\frac{6480}{8} = 810$ So, one part is worth $810.

Step 3: Find the amounts for Jen and Kim

• Jen's share is 3 parts: $3 \times 810 = 2430$
• Kim's share is 5 parts: $5 \times 810 = 4050$

Step 4: Find the difference between Kim's and Jen's amounts

The difference between Kim's and Jen's amounts is: $4050 - 2430 = 1620$

Thus, Kim gets $1620 more than Jen.

Would you like further details or have any questions?

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Here are 5 related questions to deepen your understanding:

1. If Jen and Kim shared $8100 in the same ratio, how much more would Kim get?
2. What if the ratio was 4:6 instead of 3:5? How much more would Kim receive?
3. How much would Jen and Kim each get if the total amount was only $3240?
4. If Kim received $4050, what was the total amount shared between them?
5. How would you solve this problem if the total amount was unknown?

Tip: Always check the total parts in a ratio before dividing the total amount, as this ensures accurate distribution.