Mathematics 4024 · O Level · Equations

Equations — practice question

On Monday, Abdul sold $140$ boxes of matches for $30$ cents each.
(a)[1]

Calculate the income, in dollars, that Abdul received on Monday.

(b)[3]

On Tuesday, the price per box fell by $10\%$ and the number of boxes sold went up by $30\%$. Calculate the percentage change in the income.

(c(i))[2]

On Wednesday, the price of a box was $y$ cents less than on Monday. Abdul sold $4y$ more boxes on Wednesday than he did on Monday. Write down an expression, in terms of $y$, for the income received on Wednesday. Give your answer in dollars.

(c(ii))[2]

Since this income is $40$, write down an equation in $y$ and show that it reduces to $y^2 + 5y - 50 = 0$.

(c(iii))[3]

Solve $y^2 + 5y - 50 = 0$.

(c(iv))[1]

Hence determine how many boxes were sold on Wednesday.

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