$2,100 is shared between Jennifer and Justin. Justin's share is $40 more than Jennifer's share.
a. What is Jennifer's share?

Round to the nearest cent
b. What is Justin's share?

Let's define Jennifer's share as $ x $ dollars. Since Justin's share is $40 more than Jennifer's, Justin's share will be $ x + 40 $.

The total amount shared between them is $2,100, so we can set up the following equation:

\[
x + (x + 40) = 2,100
\]

Simplifying the equation:

\[
2x + 40 = 2,100
\]

Subtract 40 from both sides:

\[
2x = 2,060
\]

Now, divide by 2:

\[
x = 1,030
\]

### a. Jennifer's share is **$1,030.00**.

### b. To find Justin's share:
\[
x + 40 = 1,030 + 40 = 1,070
\]

Justin's share is **$1,070.00**.

Let me know if you'd like more details or have questions. Here are 5 related questions to expand on this:

1. How would the shares change if Justin's share was $60 more than Jennifer's?
2. What if the total amount shared was $3,000, with the same $40 difference?
3. What if Jennifer's share was $50 more than Justin's instead?
4. How would you set up the equation if the total was $2,100, but Justin got double Jennifer's share?
5. What if the total amount shared was split evenly between the two?

**Tip**: Always define variables clearly when solving word problems involving shared amounts to avoid confusion.

$2,100 is shared between Jennifer and Justin. Justin's share is $40 more than Jennifer's share. a. What is Jennifer's share? b. What is Justin's share?

Learn how to solve a word problem where $2,100 is shared between Jennifer and Justin, with Justin's share being $40 more than Jennifer's. The solution involves basic algebraic concepts like setting up and solving a linear equation. Suitable for students in Grades 6-8.

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