# Solutions

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**Lower Elementary:**

*Answer:*3 ounces

*Solution:*First, we subtract the leftover broccoli; 16 ounces – 4 ounces = 12 ounces of broccoli are eaten by Natalie’s family. Since each family member eats the same amount, we divide 12 ounces into 4 equal groups and get 3 ounces in each. So, each family member eats 3 ounces of broccoli.

**Upper Elementary:**

*Answer:*$4.20

*Solution:*Each soda costs $0.10 more than a bottle of water. So, each day, William saves $0.10 × 6 = $0.60. In a week, he saves $0.60 × 7 = $4.20.

**Middle School:**

*Answer:*Chicken

*Solution:*If we divide the grams of protein in each option by the weight of the serving of meat, then we can compare the amounts of protein per ounce. There are 92 ÷ 12 = 72/3 grams of protein per ounce in the steak, 52 ÷ 6 = 82/3 grams of protein per ounce in the chicken, and 63 ÷ 9 = 7 grams of protein per ounce in the salmon. So, the chicken has the most protein per ounce.

**Algebra and Up:**

*Answer:*f(x) = $0.35x + $4.50

*Solution:*First, we notice that when the number of scoops of super vitamin powder increases by 2, the price increases by $5.55 – $4.85 = $0.70. So, each scoop of super vitamin powder costs $0.35. To find the cost of a 16–ounce smoothie without the super vitamin powder, we can subtract $4.85 – $0.35 = $4.50. So, the cost of a green smoothie is $4.50 plus the total of $0.35 times the number of scoops: f(x) = $0.35x + $4.50