If the price of a television set is #Y and the price of a video camera is one-third the price of a television set.If a customer pays N28000 for the items,find the price of a television set
Y + 1/3 Y = 28000
4/3 Y = 28000
Y = 28000(3) divided by 4
Is the price of the television set.
Let's solve this step-by-step.
1. Let’s start by representing the price of the television set as #Y.
2. According to the given information, the price of the video camera is one-third the price of the television set. So, the price of the video camera is: #Y/3.
3. The total amount paid by the customer for both the television set and the video camera is N28000.
4. The sum of the prices of the television set and the video camera is #Y + #Y/3.
5. According to the given information, the sum of the prices is equal to N28000. So, we can set up the equation: #Y + #Y/3 = N28000.
6. To solve the equation, we need to combine the terms on the left side: (3#Y + #Y)/3 = N28000.
7. Simplifying the numerator, we have: 4#Y/3 = N28000.
8. To isolate #Y, we need to multiply both sides of the equation by 3/4: (4#Y/3) * (3/4) = N28000 * (3/4).
9. Simplifying further, we have: #Y = N21000.
Therefore, the price of the television set (#Y) is N21000.
To find the price of the television set, we need to solve the given problem using algebraic equations. Let's break it down step by step:
1. We are given that the price of a video camera is one-third the price of a television set.
Let's assume the price of the television set is X.
Therefore, the price of the video camera can be represented as X/3.
2. The customer pays a total of N28000 for both items.
The price of the television set (X) and the price of the video camera (X/3) add up to N28000.
So, we can write an equation as: X + X/3 = N28000.
3. Now, let's solve the equation to find the price of the television set (X):
To simplify the equation, we need to get rid of the fraction by multiplying both sides by 3:
3(X + X/3) = 3(N28000).
Simplifying further, we have: 3X + X = 84000.
Combining like terms, we get: 4X = 84000.
Dividing both sides by 4, we find: X = 21000.
Therefore, the price of the television set is #21,000.