Chapter 1.3, Problem 64STP

To determine

Tofind:The quantity of proteins Ms. Beal consumed.

Answer to Problem 64STP

Ms. Beal consumed $39.5$ grams of protein.

Explanation of Solution

Given information:

Ms. Beal had $1$ bran muffin, $16$ ounces of orange juice, $3$ ounces of sunflower seeds, $2$ slices of turkey, and a half-cup of spinach.

The protein content for each item is shown in table below.

Protein Content
Food	Protein (g)
Bran muffin (1)	3
Orange Juice (8 Oz)	2
Sunflower Seeds (1 OZ)	2
Turkey (1 slice)	12
Spinach (1 c)	5

Calculation:

Let Ms. Beal has consumed $a$ bran muffin, $b$ orange juice, $c$ sunflower seeds, $d$ turkey and $e$ spinach.

Write the expression for total quantity of protein consumed.

  $\text{Total quantity of protein}=3a+2b+2c+12d+5e$

Substitute $1$ for $a$ , $16$ for $b$ , $3$ for $c$ , $2$ for $d$ and $\frac{1}{2}$ for $e$ in the expression.

  $\begin{array}{c}3a+2b+2c+12d+5e=\left(3\times 1\right)+\left(2\times 2\right)+\left(2\times 3\right)+\left(12\times 2\right)+\left(5\times \frac{1}{2}\right)\\ =3+4+6+24+2.5\\ =39.5\text{grams}\end{array}$

Therefore, Ms. Beal consumed $39.5$ grams of protein.