In March, the price of oranges was \(\$x\) per kg.
In April, the price of oranges decreased by \(\$2.50\) per kg.
With \(\$180\), Sarah could buy \(3\text{ kg}\) more oranges in April than in March.
Write down an expression, in terms of \(x\), the mass of oranges that can be bought for \(\$180\) in March.[1]
Write down an expression, in terms of \(x\), the mass of oranges that can be bought for \(\$180\) in April.[1]
Form an equation in terms of \(x\) and show that it reduces to \(6x^2-15x-900=0\).[3]
Solve the equation \(6x^2-15x-900=0\). Give your answers correct to 2 decimal places.[3]
Find the price of the oranges per kg in April.[1]
Find the percentage decrease in price in April compared to March.[2]