Ade and Maha each make cards. On one day, each of them spends 4 hours making cards. Ade needs x minutes for one card.
(a)[1]
Show that the number of cards Ade makes in 4 hours is $\frac{240}{x}$ cards.
(b)[4]
Maha spends 2 minutes less than Ade on each card, and together they make 70 cards in 4 hours. Set up an equation and show that it simplifies to $7x^2-62x+48=0$.
(c)[3]
Solve by factorisation: $7x^2-62x+48=0$.
(d)[2]
Work out how many cards Maha makes in 1 hour.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$\frac{60\times 4}{x}=\frac{240}{x}$” …