Fruit Juice 2 4 1 X 2

Apple & Eve 100% Juice Variety Pack, 6.75 Fl Oz, Pack of 32 4.7 out of 5 stars 3,693 Fruitables Skinny Minis Chewy Dog Treats in Rotisserie Chicken Flavor, 1-5 Ounce (2461). 4.1 Fermented fruit juices. There are many fermented drinks made from fruit in Africa, Asia and Latin America. These include drinks made from bananas, grapes and other fruit. Grape wine is perhaps the most economically important fruit juice alcohol. It is of major economic importance in Chile, Argentina, South Africa, Georgia, Morocco and Algeria.

1. Fruit Juice 2 4 1 X 2 X 3 X 1
2. Fruit Juice 2 4 1 X 2x 3 X 1

'Mixture' Word Problems: Examples (page 2 of 2)

Usually, these exercises are fairly easy to solve once you've found the equations. To help you see how to set up these problems, below are a few more problems with their grids (but not solutions).

• How many liters of a 70% alcohol solution must be added to 50 liters of a 40% alcohol solution to produce a 50% alcohol solution?
  

liters sol'n	% alcohol	total liters alcohol
70% sol'n	x	0.70	0.70x
40% sol'n	50	0.40	(0.40)(50) = 20
50% mix	50 + x	0.50	0.50(50 + x)

From the last column, you get the equation 0.7x + 20 = 0.5(50 + x). Solve for x.

• How many ounces of pure water must be added to 50 ounces of a 15% saline solution to make a saline solution that is 10% salt?
  

ounces liquid	% salt	total ounces salt
water	x	0	0
15% sol'n	50	0.15	(50)(0.15) = 7.5
10% mix	50 + x	0.10	0.10(50 + x)

From the last column, you get the equation 7.5 = 0.1(50 + x). Solve for x.

(Note the percentage for water. 'Pure water' contains no salt, so the percent of salt is zero. If, on the other hand, you were trying to increase the salt content by adding pure salt, the percent would have been one hundred.)

• Find the selling price per pound of a coffee mixture made from 8 pounds of coffee that sells for $9.20 per pound and 12 pounds of coffee that costs $5.50 per pound.
  

pounds coffee	$/pound	total $ for coffee
pricey	8	$9.20	(8)($9.20) = $73.60
cheapo	12	$5.50	(12)($5.50) = $66
mix	8 + 12 = 20	?	$73.60 + 66 = $139.60

From the last row, you see that you have 20 pounds for $139.60, or $139.60/(20 pounds). Simplify the division to find the unit rate. Copyright © Elizabeth Stapel 1999-2011 All Rights Reserved

• How many pounds of lima beans that cost $0.90 per pound must be mixed with 16 pounds of corn that costs $0.50 per pound to make a mixture of vegetables that costs $0.65 per pound?
  

pounds	$/pound	total $ for veggies
lima beans	x	$0.90	$0.90x
corn	16	$0.50	(16)($0.50) = $8
mix	16 + x	$0.65	(16 + x)($0.65)

From the last column, you get the equation $0.90x + $8 = (16 + x)($0.65). Solve for x.

• Two hundred liters of a punch that contains 35% fruit juice is mixed with 300 liters (L) of another punch. The resulting fruit punch is 20% fruit juice. Find the percent of fruit juice in the 300 liters of punch.
  

liters punch	% juice	total liters juice
35% juice	200	0.35	(200)(0.35) = 70
other punch	300	x	300x
mix	200 + 300 = 500	0.20	(500)(0.20) = 100

From the last column, you get the equation 70 + 300x = 100. Solve for x, and then convert the decimal answer to a percentage.

• Ten grams of sugar are added to a 40-g serving of a breakfast cereal that is 30% sugar. What is the percent concentration of sugar in the resulting mixture?
  

grams in bowl	% sugar	total grams sugar
sugar	10	1.00	10
cereal	40	0.30	(40)(0.30) = 12
mix	50	?	10 + 12 = 22

From the last row, you see that there are 22 grams of sugar in the 50 grams in the bowl, or²²/₅₀. Simplify, and then convert to a percentage.

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Fruit contains carbohydrate so you need to count it as part of your meal plan. Having a piece of fresh fruit or fruit salad for dessert is a great way to satisfy your sweet tooth and get the extra nutrition you're looking for.

What are the best choices?

The best choices of fruit are any that are fresh, frozen or canned without added sugars.

• If choosing canned fruit, look for words like 'packed in its own juices,' 'unsweetened' or 'no added sugar.'
• Dried fruit and 100% fruit juice are also nutritious choices, but the portion sizes are small so they may not be as filling as other choices.

Tips

For carbohydrate counters

A small piece of whole fruit or about ½ cup of frozen or canned fruit has about 15 grams of carbohydrate. Servings for most fresh berries and melons are from ¾–1 cup. Fruit juice can range from ⅓–½ cup for 15 grams of carbohydrate.

Only two tablespoons of dried fruit like raisins or dried cherries contains 15 grams of carbohydrate so be cautious with your portion sizes!

Fruit can be eaten in exchange for other sources of carbohydrate in your meal plan such as starches, grains or dairy.

For plate method

If using the plate method, having a small piece of whole fruit or a ½ cup of fruit salad for dessert is a great complement to the non-starchy vegetables, small portion of starch and protein foods that are on your plate.

For using the glycemic index

Most fruits have a low glycemic index (GI) because of their fructose and fiber content. Melons and pineapple have medium GI values as do some dried fruits such as dates, raisins and sweetened cranberries.

Overall, fruit is encouraged when using the glycemic index to guide food choices—so enjoy.

Common fruits

The following is a list of common fruits:

Apples Apricots Avocado Banana Blackberries Blueberries Cantaloupe Cherries Grapefruit Grapes Honeydew melon Kiwi Mango Nectarine Orange Papaya Peaches Pears Pineapple Plums Raspberries Strawberries Tangerines Watermelon

Fruit Juice 2 4 1 X 2 X 3 X 1

This also includes dried fruit such as:

Fruit Juice 2 4 1 X 2x 3 X 1

Cherries Cranberries Dates Figs Prunes Raisins

Fruit Juice 2 4 1 X 2