Answer :
As per the unitary method, the amount of grape juice does Sarah use for each cup of water is 11/48
The term unitary method in math refers the process of finding the value of a single unit and then find the value of more or fewer units by multiplying their quantity with the value of a single unit.
Here we have given that Sarah dilutes grape juice for her two-year-old sister. she uses 1/4 cup of grape juice for every 2/3 cup of water.
And we need to find the amount of grape juice does Sarah use for each cup of water
In order to find the solution, we have to add the two fraction first to determine the total ratio
=> ¹/4 + ²/3 = ¹¹/12
Now, we know that she uses ¼ cup grape juice for ¹¹/12 cup full of diluted grape juice, then it can be written as,
=> ¼ : ¹¹/12
So, the amount of grape juice does Sarah use for each full cup of water, that is ¹²/12, so it can be written as,
=> (x) : ¹²/12
Now, we have to cross multiply the ratios;
=> ¹²/12 * ¼ = ¹¹/12 * x
=> ³/12 = ¹¹/12 x
=> ³/12 * ¹²/11 = x
=> ¹¹/48 = x
To know more about Unitary method here,
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