https://file.aiquickdraw.com/mathbot/file/1726512764086901cu7ug.jpg

We are given that Andy and Bea have £700 in total, and both spend portions of their money:

- Andy spends \(\frac{3}{5}\) of his money.
- Bea spends \(\frac{2}{3}\) of her money.

After their spending, they have £270 left altogether. We are asked to find how much money Bea has left.

### Let's break it down step-by-step:

Let Andy's initial amount be \(A\) and Bea's initial amount be \(B\), where \(A + B = 700\).

1. Andy spends \(\frac{3}{5}\) of his money, so he has \(\frac{2}{5}A\) left.
2. Bea spends \(\frac{2}{3}\) of her money, so she has \(\frac{1}{3}B\) left.

The total money they have left after spending is £270, so:

\[
\frac{2}{5}A + \frac{1}{3}B = 270
\]

We now have a system of two equations:

\[
A + B = 700
\]
\[
\frac{2}{5}A + \frac{1}{3}B = 270
\]

### Solving the system of equations:

We will solve these equations to find \(A\) and \(B\), and then calculate Bea's remaining money.

Let me calculate this.It seems like I can’t do more advanced data analysis right now. Please try again later.

If you'd like, I can guide you through the steps to solve it manually or assist you with any other queries.

Here are some related questions to consider:
1. How would you solve the system of equations using substitution or elimination methods?
2. What happens to the total money if Andy or Bea spends a different fraction?
3. Can you think of other real-life examples where a similar equation system might arise?
4. How does adjusting the percentage each person spends affect the total left?
5. Can you extend this problem to include a third person?

**Tip:** When solving systems of equations, keeping track of each person's total helps to avoid confusion.

Andy and Bea have £700 in total. Andy spends 3/5 of his money, and Bea spends 2/3 of hers. Together, they have £270 left. How much money does Bea have left?

Solve the algebraic problem where Andy and Bea start with £700 in total. Andy spends 3/5 of his money, and Bea spends 2/3 of hers. Together, they have £270 left. Learn how to calculate how much Bea has left using a system of equations. Ideal for Grades 7-9 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation