Math Problem Statement
$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?
Solution
Let's define Jennifer's share as dollars. Since Justin's share is $40 more than Jennifer's, Justin's share will be .
The total amount shared between them is $2,100, so we can set up the following equation:
Simplifying the equation:
Subtract 40 from both sides:
Now, divide by 2:
a. Jennifer's share is $1,030.00.
b. To find Justin's share:
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:
- How would the shares change if Justin's share was $60 more than Jennifer's?
- What if the total amount shared was $3,000, with the same $40 difference?
- What if Jennifer's share was $50 more than Justin's instead?
- How would you set up the equation if the total was $2,100, but Justin got double Jennifer's share?
- 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.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Word Problems
Formulas
x + (x + 40) = 2100
2x + 40 = 2100
Theorems
Basic Linear Equation Solving
Suitable Grade Level
Grades 6-8
Related Recommendation
Solve Linear Equations: How Much More Money Did Luke Have Than Jennifer?
Solve for Town's Share of Donation with Linear Equations
Solving a Money Distribution Problem Using Algebra
Solving a Linear Equation for Total Amount Distribution: Jim, Sue, and Johnny
Simultaneous Equations: Money Division Problem