Final answer:
Rachel needs 17.5 tablespoons of sugar to use with her 7 teaspoons of milk for the icing on her cinnamon buns, based on the recipe ratio.
Step-by-step explanation:
To determine how many tablespoons of sugar Rachel needs for her cinnamon bun icing using 7 teaspoons of milk, we need to set up a ratio. The original recipe calls for 5 tablespoons of sugar to 2 teaspoons of milk. To find out how much sugar Rachel requires to use with her 7 teaspoons of milk, we can use a simple proportion.
- First, write the ratio of sugar to milk from the recipe: 5 tablespoons of sugar / 2 teaspoons of milk.
- Next, write a proportion to solve for the unknown amount of sugar (x) that corresponds with 7 teaspoons of milk: 5/2 = x/7.
- Then, cross-multiply to solve for x: 5 * 7 = 2 * x, which becomes 35 = 2x.
- Finally, divide both sides by 2 to find x: x = 35 / 2; therefore, x = 17.5.
Rachel needs 17.5 tablespoons of sugar for the 7 teaspoons of milk to make her icing.