A t-shirt Costas much as a singlet for 800 cedis a trader can buy 32 more singlets than t-shirt. How much does a t-shirt cost
Let's assume the cost of the t-shirt is x cedis.
According to the problem, the cost of a singlet is 800 cedis,
So we can write the equation:
x = 800
Now, let's use the second piece of information given in the problem:
A trader can buy 32 more singlets than t-shirts.
This means that the trader can buy x t-shirts and (x + 32) singlets.
The total cost of these items can be expressed as:
x(x + 32)800
Simplifying this expression, we get:
x² + 32x = 800
Rearranging this equation, we get a quadratic equation in standard form:
x² + 32x - 800 = 0
Using the quadratic formula, we can solve for x:
x = (-32 ± √(32² + 4(1)(800))) / 2(1)
x = (-32 ± 56) / 2
x = (-32 + 56) / 2 or x = (-32 - 56) / 2
x = 12 or x = -44
Since x represents the cost of a t-shirt, it cannot be negative.
Therefore, the cost of a t-shirt is 12 cedis.
Let's assume that the cost of a t-shirt is represented by "x" cedis.
The cost of a singlet is 800 cedis.
According to the given information, a trader can buy 32 more singlets than t-shirts.
So, the number of t-shirts the trader can buy is (32 + 1) = 33.
The total cost of t-shirts would be 33 times the cost of one t-shirt: 33x cedis.
The total cost of singlets would be 32 times the cost of one singlet: 32 * 800 = 25,600 cedis.
Since the total cost of t-shirts is equal to the total cost of singlets, we can write the equation:
33x = 25,600.
Now, let's solve for x:
x = 25,600 / 33.
Calculating this, we find that x is approximately 775.76 cedis.
Therefore, the cost of a t-shirt is approximately 775.76 cedis.