Questionb) Liam, Joan and Martha split a bill in the following ratio:
\begin{tabular}{|ccccc|}
\hline Liam & & Joan & & Martha \\
4 & & 3 & & 5 \\
\hline
\end{tabular}
Liam and Joan paid in total between them.
Martha paid the rest of the bill.
Work out how much Martha paid.
Studdy Solution
STEP 1
1. The bill is split among Liam, Joan, and Martha in the ratio .
2. Liam and Joan together paid €154.
3. We need to find out how much Martha paid.
STEP 2
1. Define the variables.
2. Set up equations based on the given ratio.
3. Solve the equations to find Martha's share of the bill.
STEP 3
Let , , and be the amounts paid by Liam, Joan, and Martha, respectively, where is a common factor.
STEP 4
Set up the equation for the total amount paid by Liam and Joan.
STEP 5
Simplify the equation.
STEP 6
Solve for .
STEP 7
Calculate Martha's share using .
Martha paid:
Was this helpful?
