Determine, to the nearest hundredth, the number of cups that can hold 127 milliliters.
It is true that one cup is equal to 236.588 milliliters. So we can set up a proportion to solve for the number of cups that can hold 127 milliliters. So we are trying to solve for the number of cups. We’ll call it 𝑥. And they will hold 127 milliliters. So notice the cups are on the left-hand side and the milliliters are on the right.
Now we can cross-multiply and solve. One cup times 127 milliliters is equal to 𝑥 times 236.588 milliliters. So in order to solve for 𝑥, we need to divide both sides of the equation by 236.588 milliliters. On the right-hand side, they cancel. And on the left-hand side, the milliliter units cancel. And on the numerator, we have one times 127, which is 127. And our unit is in cups. And then we divide by 236.588. So we find that 𝑥 is equal to 0.53679815.
But we need to round to the nearest hundredth, which is here. So we will either keep the three a three or round it up to a four. So we look at the number to the right. Since this number is five or larger, we will round the three up to a four. So number of cups that can hold 127 milliliters will be 0.54 cups, pretty much half of a cup.