Foundation January 2021 Paper 2 Q24
24 The people working for a company work in Team A or in Team B.
number of people in Team A : number of people in Team B = 3 : 4
\(\dfrac{4}{5}\) of Team A work full time.
24% of Team B work full time.
Work out what fraction of the people working for the company work full time.
Give your fraction in its simplest form.
(3)
| Scheme | Marks |
|---|---|
eg \(\dfrac{4}{5} \times \dfrac{3}{7}\left(= \dfrac{12}{35}\right)\) oe or \(0.24 \times \dfrac{4}{7}\left(= \dfrac{96}{700}\right)\) oe or eg \(\dfrac{4}{5} \times 3\left(= \dfrac{12}{5} = 2.4\right)\) and \(0.24 \times 4\left(= \dfrac{24}{25} = 0.96\right)\) (or 3.36) or eg \(\dfrac{4}{5} \times 300\) (= 240) and 0.24 × 400 (= 96) (or 336) | M1 |
eg \(\text{“}\dfrac{12}{35}\text{”} + \text{“}\dfrac{96}{700}\text{”}\left(= \dfrac{336}{700}\right)\) oe or \(\dfrac{\text{“}2.4\text{”} + \text{“}0.96\text{”}}{3 + 4}\left(= \dfrac{3.36}{7}\right)\) oe or eg \(\dfrac{\text{“}240\text{”} + \text{“}96\text{”}}{300 + 400}\left(= \dfrac{336}{700}\right)\) oe | M1 |
| \(\dfrac{12}{25}\) | A1 |
| (3) | |
| (3 marks) |
Notes
M1: or 0.48 or 48% or correct unsimplified fraction eg \(\dfrac{84}{175}\)
A1: cao