Question

The manager of a bookshop ordered 70 copies of Teen magazine;

s of these were charged at £1.90 each and the remainder, t, were
charged at a discounted price of £1.70 p each.
The bill for all 70 copies was £124.
How many magazines were charged at the discounted price?

Answer 1

Let's call the number of magazines charged at £1.90 each "x".

So, the number of magazines charged at £1.70 each is "t=70-x".

The total cost of the x magazines is x * £1.90, and the total cost of the t magazines is t * £1.70.

The total bill for all 70 magazines is £124, so we can write an equation:

x * £1.90 + t * £1.70 = £124

x * £1.90 + (70-x) * £1.70 = £124

Expanding the equation, we get:

x * £1.90 + 70 * £1.70 - x * £1.70 = £124

x * £1.90 - x * £1.70 = £124 - 70 * £1.70

x * (£1.90 - £1.70) = £124 - 70 * £1.70

x * £0.20 = £124 - 70 * £1.70

x = (£124 - 70 * £1.70) / £0.20

Now that we have an expression for x, we can use a calculator to solve for it.

x = (124 - (70 * 1.70)) / 0.20 = 40.

So, 40 magazines were charged at £1.90 each and 70 - 40 = 30 magazines were charged at £1.70 each.