Mr Kang bought some mooncakes for $\$500$. He paid $\$x$ for each mooncake. Find an expression,

Question

Mr Kang bought some mooncakes for $\$500$. He paid $\$x$ for each mooncake. Find an expression, in terms of $x$, for the number of mooncakes he bought. It was found that 1 mooncake was crushed, and could not be sold. Mr Kang sold each remaining mooncake for $\$1$ more than he paid for it. Write down an expression, in terms of $x$, for the total sum received from the sale of the mooncakes. He made a profit of $\$50$ from the sale of the remaining mooncakes. Write down an equation to represent this information, and show that it can be simplified to ${{x}^{2}}+51x-500=0$. Solve the equation ${{x}^{2}}+51x-500=0$, giving your answers correct to one decimal place. Find the selling price of each mooncake.

Accepted Answer

(a) $\frac{500}{x}$ (b) $499+\frac{500}{x}-x$ (c) $x^2+51x-500=0$ (d) $x=8.4$ or $x=-59.4$ (e) $\$9.4$

IP2U4 Exercise Q9

IP2U4 Exercise Q9

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