2023 BMSS EOY P1 Q14

2023 BMSS EOY P1 Q14

6 marks

The frequency table shows the number of people who entered a supermarket on a particular weekend.

AgeNumber of people
\(10 \le x < 20\)\(p\)
\(20 \le x < 30\)\(128\)
\(30 \le x < 40\)\(152\)
\(40 \le x < 50\)\(q\)

  1. The total frequency is \(400\).

    Show that \(p + q = 120\).

    [1]

  2. The estimated mean age of the visitors is \(30.75\).

    Show that \(p + 3q = 252\).

    [2]

  3. Solve the following simultaneous equations.

    \(p + q = 120\)

    \(p + 3q = 252\)

    [3]

Solution:

Solution locked

Sign in to view the step-by-step solution

Similar questions are unavailable for this question.
Answer:(a) \(p+q=120\). (b) \(p+3q=252\). (c) \(p=54,q=66\).

Need help? Join our JC Math tuition classes.

Learn more