An apple has 24 fewer calories than a banana. If 7 bananas have the same number of calories as 10 apples, how many calories are in the banana?
apple= x-24
banana= x
7x=10(x-24)
7x=10x-240
-3x=-240
x=80calories per banana
check:
7(80)=10(80-24)
560=560
Thanks
Let's assume the number of calories in the banana is x.
According to the given information, an apple has 24 fewer calories than a banana. So, the number of calories in an apple would be x - 24.
Now, it's given that 7 bananas have the same number of calories as 10 apples. Therefore, the equation would be:
7x = 10(x - 24)
Simplifying the equation:
7x = 10x - 240
Rearranging the equation:
3x = 240
Dividing both sides by 3:
x = 80
Thus, there are 80 calories in the banana.
To solve this problem, we will set up an equation based on the given information.
Let's assume the number of calories in the banana is x.
According to the given information, an apple has 24 fewer calories than a banana. So, the number of calories in the apple would be x - 24.
Next, we are told that 7 bananas have the same number of calories as 10 apples. This can be expressed as:
7x = 10(x - 24)
Now, we will solve this equation to find the value of x, which represents the number of calories in the banana.
Expanding the equation, we get:
7x = 10x - 240
Combining like terms, we have:
240 = 10x - 7x
Simplifying further:
240 = 3x
Dividing both sides of the equation by 3:
x = 80
Therefore, there are 80 calories in the banana.