Diana buys 20 apples at x cents each&40 oranges&sells the bags for 20x cents each.Find out the amount that Diana paid for each apple if she obtained a total of RM 24 from selling all the fruits
To find out the amount Diana paid for each apple, we need to set up an equation based on the given information.
Let's break down the given information into equations:
Diana buys 20 apples at x cents each. This can be written as: 20 * x = total cost of apples.
Diana buys 40 oranges. The cost of oranges is not specified, so we can represent it as a variable, let's call it y. This can be written as: 40 * y = total cost of oranges.
Diana sells the bags (containing 20 apples and 40 oranges) for 20x cents each. This can be written as: (20 + 40) * 20x = total revenue from selling all the fruits.
The equation can now be set up:
Total Revenue = Total Cost
(20 + 40) * 20x = (20 * x) + (40 * y)
Simplifying the equation:
60 * 20x = 20x + 40y
1200x = 20x + 40y
Divide both sides of the equation by 20:
60x = x + 2y
Now, we know that Diana obtained RM 24 from selling all the fruits. Since 1 RM is equal to 100 cents, we can convert RM 24 to 2400 cents.
60x = x + 2y
Substituting the value of RM 24 (2400 cents) into the equation:
60x = x + 2y
2400 = x + 2y
Since we have two variables (x and y) and only one equation, we cannot find the exact values of x and y. However, we can express the amount Diana paid for each apple in terms of the variable y.
The amount Diana paid for each apple would be (2400 - 2y) cents.
How many cents in an "RM"?
Since there is no mention of profit, there is no connection between the cost and the selling price.
Also, there is no indication of how many bags.
Let's assume there are 100 cents per "RM".
Heck, she may have lost money. Let's say she paid 20 cents/apple and y cents/orange.
We know there are 2400/20x = 120/x bags
Then, she had 20*20 + 40y = 2400
40y = 2000
y=50
Six bags at 400/bag
Or, let's say she paid 10 cents/apple
40y = 2200
y = 55
12 bags at 200/bag
More info please.