The ratio of the volume of water in cups A and B is 10 : 7. Express the volume in Cup B as a fraction of the total volume of water in both cups.
total parts: A+B = 10+7 = 17
B/total = 7/17
To express the volume in Cup B as a fraction of the total volume of water in both cups, we need to find the combined volume of cups A and B and then determine the fraction of that volume that Cup B represents.
Let's assume the volume of water in Cup A is 10x and the volume of water in Cup B is 7x, where x is an arbitrary unit of measurement (such as cups, liters, or gallons).
The total volume of water in both cups is the sum of the volumes in cups A and B: 10x + 7x = 17x.
To express the volume in Cup B as a fraction of the total volume, we divide the volume of water in Cup B (7x) by the total volume (17x):
Fraction = Volume in Cup B / Total Volume
= 7x / 17x
Simplifying the fraction, we see that x/x cancels out:
Fraction = 7 / 17
Therefore, the volume in Cup B is expressed as a fraction of the total volume of water in both cups as 7/17.