The total capacity of 2 water bottles, A and B, is 680 ml. The ratio of bottle A's capacity to bottle B's capacity is 4:6. How much larger is bottle B's capacity than bottle A's?
My answer is 136, am i right?
a + b = 680
a/b = 2/3
2 b = 3 a
a = (2/3) b
so
(2/3) b + b = 680
(5/3 ) b = 680
b = 408
then a = (2/3)408 = 272
then b - a = 136 ml
To find out how much larger bottle B's capacity is compared to bottle A's, we first need to determine the individual capacities of each bottle.
Let's assume the capacity of bottle A is 4x, and the capacity of bottle B is 6x. We can set up the following equation based on the given ratio:
4x + 6x = 680
Combining like terms, we have:
10x = 680
To isolate x, we divide both sides of the equation by 10:
x = 680 / 10 = 68
Now that we know x = 68, we can find the capacity of each bottle:
Capacity of bottle A = 4x = 4 * 68 = 272 ml
Capacity of bottle B = 6x = 6 * 68 = 408 ml
To determine how much larger bottle B's capacity is than bottle A's, we subtract the capacity of bottle A from the capacity of bottle B:
408 - 272 = 136 ml
So, bottle B's capacity is 136 ml larger than bottle A's capacity.
Therefore, your answer of 136 is correct!