Laura, Edith and Adam share a sum of money in the ratio 1:5:3Adam got £12.How much did Laura receive?

1. Break Down the Problem

To find out how much Laura received, we need to understand the ratio in which Laura, Edith, and Adam share the money. The ratio given is 1:5:3 for Laura, Edith, and Adam respectively. Since Adam received £12, we will use this information to find the total sum and calculate how much Laura received.

2. Relevant Concepts

The ratio represents the parts of a whole.

• Let the amounts Laura, Edith, and Adam receive be represented as:
  • Laura = $1x$
  • Edith = $5x$
  • Adam = $3x$

3. Analysis and Detail

From the information we know:

• Adam's share $3x$ is given as £12.

To find $x$: $3x = 12 \implies x = \frac{12}{3} = 4$

Now we can calculate each person's share:

• Laura's share: $1x = 1 \cdot 4 = 4$
• Edith's share: $5x = 5 \cdot 4 = 20$
• Adam's share (to validate): $3x = 3 \cdot 4 = 12$

4. Verify and Summarize

We have calculated Laura's share as £4 using the derived value of $x$. Adam's share also checks out since $3x = 12$ is consistent with the problem statement.

Final Answer

Laura received £4.