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Solve each of the following problems using one or more conversion factors:

a. Wine is 12%alcohol by volume. How many milliliters of alcohol are in a 0.750-Lbottle of wine?

b. Blueberry high-fiber muffins contain 51%dietary fiber by mass. If a package with a net weight of 12ozcontains six muffins, how many grams of fiber are in each muffin?

c. A jar of crunchy peanut butter contains 1.43kgof peanut butter. If you use 8.0%of the peanut butter for a sandwich, how many ounces of peanut butter did you take out of the container?

d. In a candy factory, the nutty chocolate bars contain 22.0%pecans by mass. If 5.0kgof pecans were used for candy last Tuesday, how many pounds of nutty chocolate bars were made?

Short Answer

Expert verified

(a) The 90mLof alcohol are in bottle of wine

(b) The 29gfibre are there in each muffin

(c) The 4ozof peanut butter did you take out of the container

(d) The50lbof nutty chocolate bar were made

Step by step solution

01

Part (a) Step 1: Given information

We need to find the millimeters of alcohols in bottle of wine

02

Part (a) Step 2: Explanation

We know that

12%of alcohol means localid="1653659130343" 12mL100mL

And 1000mL=1L

Therefore, required amount of alcohol is,

localid="1653659172063" 12mL100mL×1000mL1L×0.750L=90mL

03

Part (b) Step 1: Given informnation

We need to find the grams of fiber in each muffin

04

Part (b) Step 2: Explanation

We know that

1lb16coz,6muffins1package,100g2.2lb,51g100gmuffins

Therefore, grams of fiber in each muffin is,

12oz×1package6muffins×1lb16oz×1000g2.20lb×51gmuffins100g=29g

05

Part (c) Step 1: Given information

We need to find the no. of ounces of peanut butter did you take out of the container

06

Part (c) Step 2: Explanation

We know that

8g100g,1kg2.20lb,1lb16oz

Therefore,

Ounces of peanut butter did you take out of the container,

1.43kg×8kg100kg×2.20lb1kg×16oz1lb=4oz

07

Part (d) Step 1: Given information

We need to find the pounds of nutty chocolate bars that were made

08

Part (d) Step 2: Explanation

We know that

1kg=2.20lb

The 22kgof pecans =100kgof nutty chocolate

Therefore, pounds of nutty chocolate bars were made

5kgpecans×2.20lb1kg×100kgnuttychocolate22kgpecans=50lbnuttychocolate

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