If u r not interested in the explanation jump to the end ***
1. We assume, that the number 53.55 is 100% - because it's the output value of the task. 2. We assume, that x is the value we are looking for. 3. If 53.55 is 100%, so we can write it down as 53.55=100%. 4. We know, that x is 15% of the output value, so we can write it down as x=15%. 5. Now we have two simple equations: 1) 53.55=100% 2) x=15% where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that: 53.55/x=100%/15% 6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 15% of 53.55
53.55/x=100/15 (53.55/x)*x=(100/15)*x - we multiply both sides of the equation by x 53.55=6.6666666666667*x - we divide both sides of the equation by (6.6666666666667) to get x 53.55/6.6666666666667=x 8.0325=x x=8.0325 ******* now we have: 15% of 53.55=8.0325. the total price was 53.55+8.0325=61.5825 the price before the discount 61.5825 - 38 = 23.5825 ~ 23.58
In this question, we are asked to calculate the amount that a discounted purchase cost before the discount was applied.
From the question, we were made to know that 53.55 included the discount. Now if 15% was the price of the discount, this means what she paid was 85% and this is equivalent to the value 53.55
since we do not know the total price before the discount, let’s call that x.
This means that;
85/100 * x = 53.55
85x = 53.55 * 100
85x = 5355
x = 5355/85
x = £63
Now we were made to know that the trainers were priced at £38 before the discount, the price of the watch before the discount is thus £63 - £38 = $25
