Mathematics 4024 · O Level · Equations

Equations — practice question

Apples cost $x$ cents per kilogram, and Mina pays $\$9$ altogether for apples.
(a)[1]

State an expression, in kilograms, for the mass of apples that Mina gets.

(b)[4]

The cost of pears is $40$ cents per kilogram higher than the cost of apples. Mina spends $\$9$ on pears. The mass of pears Mina receives is $0.75\,\text{kg}$ less than the mass of apples. Form an equation in $x$ and show that it simplifies to $x^2 + 40x - 48000 = 0$.

(c)[3]

Solve the equation $x^2 + 40x - 48000 = 0$. Show your working.

(d)[2]

Narinder buys $1.5\,\text{kg}$ of apples and $0.8\,\text{kg}$ of pears. Find the total amount he pays in dollars.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: $\frac{900}{x}\text{ kg}$

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