Answer
1 serving of toast, 2 servings of Cottage cheese, and 2 servings of fruit.
Work Step by Step
Step 1. Assume we need $x$ number of toasts, $y$ number of Cottage cheese, and $z$ number of fruit.
Step 2. To get the fixed number of calories (460), fiber (6g), and fat (11g), we can set up the following equations:
$2x+0y+2z=6$, $x+5y+0z=11$, and $100x+120y+60z=460$ (or $5x+6y+3z=23$)
Step 3. With the first two equations, we get $z=3-x$ and $y=\frac{11-x}{5}$, substitute these in the third equation, we get $5x+\frac{6(11-x)}{5}+3(3-x)=23$
Step 4. Solve the above equation to get $x=1$, thus $y=2$, and $z=2$
Step 5. We conclude that Nicole needs 1 serving of toast, 2 servings of Cottage cheese, and 2 servings of fruit.
