Final answer:
To find the total liquid amount in the Irish coffee recipe, add the Baileys and coffee amounts together, resulting in 1/4 cup + 1 1/2 cups, which equals 7/4 cups or 1 3/4 cups.
Step-by-step explanation:
The subject of this question is determining the total liquid amount in a recipe, which is a Mathematics problem involving the addition of fractions. To calculate the total liquid amount for Irish coffee, we need to add the amounts of Baileys and coffee together. Since the recipe calls for 1/4 cup of 12% Baileys and 1 1/2 cups of coffee, we add these two quantities:
1/4 cup + 1 1/2 cups = 1/4 cup + 6/4 cups (since 1 1/2 cups is equal to 6/4 cups)
The common denominator for the fractions is 4, so when we add them, we get:
1/4 cup + 6/4 cups = (1 + 6)/4 cups = 7/4 cups
The total liquid amount is 7/4 cups, which can also be expressed as 1 3/4 cups because 4 goes into 7 once, with a remainder of 3, so we have 1 whole cup and 3/4 of another cup.
Therefore, the correct answer is a) 1 3/4 cups.