Question

for questions 6 to 17, show your working clearly and write your answers in the spaces provided. the number of marks available is shown in brackets at the end of each question or part - question. (45 marks) 6 the pie chart shows how isabelle spent her money. the amount of money isabelle spent on transport is $\frac{2}{5}$ of the amount she spent on food. (a) what is the percentage of isabelles money spent on food?

Explanation:

Step1: Set up the relationship

Let the percentage of money spent on food be $x$. We know that the percentage of money spent on transport is 24% and it is $\frac{2}{5}$ of the amount spent on food. So we have the equation $24\%=\frac{2}{5}x$.

Step2: Solve for $x$

First, convert 24% to a fraction, $24\%=\frac{24}{100}=\frac{6}{25}$. Then, from $\frac{6}{25}=\frac{2}{5}x$, we can solve for $x$ by multiplying both sides of the equation by $\frac{5}{2}$. So $x = \frac{6}{25}\times\frac{5}{2}=\frac{30}{50}=60\%$.

Answer:

60%