Question

amelia is buying walnuts for a recipe. she already has 1\frac{1}{4} cups of walnuts. the recipe calls for 2\frac{3}{4} cups of walnuts. how many cups of walnuts does amelia need to buy? let c be the number of cups of walnuts amelia needs to buy. describe the situation with an equation.

Explanation:

Step1: Define the equation

The amount Amelia has plus the amount she buys equals the recipe requirement:
$1\frac{1}{4} + c = 2\frac{3}{4}$

Step2: Solve for $c$

Subtract $1\frac{1}{4}$ from both sides:
$c = 2\frac{3}{4} - 1\frac{1}{4}$

Step3: Calculate the difference

Convert to improper fractions or subtract directly:
$c = \frac{11}{4} - \frac{5}{4} = \frac{6}{4} = 1\frac{2}{4} = 1\frac{1}{2}$

Answer:

The equation is $1\frac{1}{4} + c = 2\frac{3}{4}$, and Amelia needs to buy $1\frac{1}{2}$ cups of walnuts.