My question is: A cheeseburger costs twice as much as a can of coke. If a cheeseburger and a can of coke cost €2.10, how much is the cheeseburger.
Let c = can of Coke
c + 2c = 2.1
3c = 2.1
c = 0.70
let the price of coKe be X
cheeseburger=2x
hence 2x+x=2.10
3\3x=2.10\3
x=0.7
therefore, 0.7x2=1.4
cheeseburger=1.4
hope I have helped you
Let's break it down step-by-step:
1. Let's assume the cost of a can of coke is represented by x euros.
2. According to the information given, a cheeseburger costs twice as much as a can of coke. Therefore, the cost of a cheeseburger would be 2x euros.
3. It is stated that together, a cheeseburger and a can of coke cost 2.10 euros. So, the sum of the cost of both items would be x + 2x = 2.10 euros.
4. Simplifying the equation, we get 3x = 2.10 euros.
5. Dividing both sides of the equation by 3, we find that x, the cost of a can of coke, is equal to 0.70 euros.
6. As the cost of a cheeseburger is twice the cost of a can of coke, the cheeseburger would cost 2 * 0.70 euros = 1.40 euros.
Therefore, the cost of the cheeseburger is €1.40.
To solve this problem, let's assign a variable to the cost of a can of coke. Let's say that the cost of a can of coke is "x" euros.
According to the given information, a cheeseburger costs twice as much as a can of coke, which means the cost of the cheeseburger is 2 times the cost of a can of coke. So, the cost of the cheeseburger is 2x euros.
Now, we know that the total cost of a cheeseburger and a can of coke is €2.10. So, we can set up an equation as follows:
2x + x = 2.10
Combining like terms:
3x = 2.10
To isolate x, we divide both sides of the equation by 3:
x = 2.10 / 3
x ≈ 0.70
Therefore, the cost of a can of coke (x) is approximately €0.70.
Now, to find the cost of the cheeseburger, which is twice the cost of a can of coke, we can multiply €0.70 by 2:
2 * 0.70 = 1.40
So, the cost of the cheeseburger is approximately €1.40.