# Stacie is a resident at the medical facility where you work. you are asked to chart the amount of solid food that she consumes.

###### Question:

## Answers

Remark

The general formula is fraction * solid food = amount

Total amount = 1/2 * 3 oz + 3/4 * 3 oz + 1/3 * 2 oz

Total amount = 3/2 oz + (9/4) oz + 2/3 oz

The lowest common denominator of 2 4 and 3 = 12

Total amount = 3*6/2*6 + 9*3/4*3 + 2*4/3*4

Total amount = 18/12 + 27/12 + 8/12

Total amount = 53/12 = 4 5/12 <<< Answer oz of food.

4.42 oz of food <<<< Answer

4.75 ounces of solid food

1/2 of a 3-ounce of meatloaf = (1/2) x 3 = 3/2 ounce

3/4 of 3-ounce of mashed potatoes = (3/4) x 3 = 9/4 ounce

1/3 of a 2-ounce of green beans = (1/3) x 2 = 2/3 ounce

The total solid food stacie consumed = (3/2) + (9/4) + (2/3)

= 1.5 + 2.25 + 0.666

= 4.416 ounces

4.42 ounces

Step-by-step explanation:

Given:

The solid food Stacie has eaten in the noon meal:

1. [tex]\frac{1}2[/tex] of a 3-ounce serving of meatloaf.

2. [tex]\frac{3}4[/tex] of her 3-ounce serving of mashed potatoes

3. [tex]\frac{1}3[/tex] of a 2-ounce serving of green beans

To find:

How many ounces of solid food was consumed by Stacie (upto 2 decimal places) ?

Solution:

Let us convert the given fractions to decimal form upto 2 decimal places:

1. [tex]\frac{1}{2}\ of\ 3\ ounces[/tex][tex]= \frac{1}{2}\times 3 =1.50\ ounces[/tex] meatloaf .

2. [tex]\frac{3}{4}\ of\ 3\ ounces[/tex][tex]= \frac{3}{4}\times 3 =2.25\ ounces[/tex] mashed potatoes .

3. [tex]\frac{1}{3}\ of\ 2\ ounces[/tex][tex]= \frac{1}{3}\times 2 =0.67\ ounces[/tex] green beans.

Let us add the above 3 quantities to get total solid food consumed.

Total solid food consumed = 1.50 + 2.25 +0.67 = 4.42 ounces.

So, the answer is 4.42 ounces.

Meatloaf consumed = 1/2 x 3 = 1.5 ounces

Mashed potatoes consumed = 3/4 x 3 = 2.25 ounces

Green beans consumed = 1/3 x 2 = 0.67 ounces

Total solid food = 1.5 + 2.25 + 0.67

= 4.42 ounces of solid food consumed

Meatloaf:

[tex]\frac{1}{2} \times 3 = \frac{1}{2} \times \frac{3}{1} = \frac{3}{2} = 1 \frac{1}{2}[/tex]

So 1.5 ounce of meatloaf

Mashed potatoes:

[tex]\frac{3}{4} \times 3 = \frac{3}{4} \times \frac{3}{1} = \frac{9}{4} = 2 \frac{1}{4}[/tex]

So 2.25 once of mashed potatoes

Green Beans:

[tex]\frac{1}{3} \times 2 = \frac{1}{3} \times \frac{2}{1} = \frac{2}{ 3}[/tex]

So 0.66 ounce of green beans.

So in total:

[tex]1 \frac{1}{2} + 2 \frac{1}{4} + \frac{2}{3} = \frac{3}{2} + \frac{9}{4} + \frac{2}{3} = \frac{18}{12} + \frac{27}{12} + \frac{8}{12} = \frac{53}{12} = 4 \frac{5}{12}[/tex]

So the answer is 4 5/12 ounces of solid food.

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