MATH FRACTION TEST
NOVEMBER 21 , 2007
What I Had To Do;
I had to find out how much ingredients would go into a 12 cup and a 1/2 cup container of Betty's Snack Mix with the information I got on the test. Then I had to draw a label for both of the containers including the ingredients, the portions of the ingredients and the price.
What I Did;
First I used the original mixture to find the ratio of the ingredients so I could use that ratio for the other mixes.
(2 2/5 = 12/5 cup // 1 1/5 cup = 6/5 spicy shreddies)
6/5 spicy shreddies = 1/2 mixture
4/5 peanuts = 1/3 mixture
2/5 pretzels = 1/6 mixture
12 Cup Mix.
I found out from the original mix that;
6/5 cups of spicy shreddies is 1/2 of each mixture,
4/5 cups of peanuts is 1/3 of each mixture,
2/5 cups of pretzels is 1/6 of each mixture.
So now knowing that I figured out;
1/2 of 12 Cups will be 6 cups of spicy shreddies
1/3 of 12 Cups will be 4 cups of peanuts
1/6 of 12 Cups will be 2 cups of pretzels
1/2 Cup Mix.
I found this one a little bit harder, but again I found out from the original mixture that;
(1/2 = 3/6 = 6/12)
1/2 of the mixture will be spicy shreddies. = 3/12 (because its 1/2 of 6/12) = 1/4 cup (reduced)
1/3 of the mixture will be peanuts. = 2/12 (because its 1/3 of 6/12) = 1/6 cup (reduced)
1/6 of the mixture will be pretzels. = 1/12 (cant be reduced to anything)
2 2/5 = 12/5 = $3.60. How much is 1/5? 360 divided by 12 = 30
So I now know that the cost of 1/5 of a cup of the mixture is 3o cents.
12 Cups = 12/1 so I changed it to fifths by multiplying it by 5 = 60/5. Then I multiplied 60 by 30 to get 1800. So I then found out that 12 cups costs $18.00.
1/2 Cup = 5/10 because 1/2 couldn't be changed to fifths easily so I just changed it to ten. Since I changed it to tenths I cut the cost of 1/5 of a cup (30 cents) in half because 1/10 is half of 1/5. I figured out that the cost of 1/10 of a cup is 15 cents. Then I multiplied 5 by 15 and it equaled 75. So I then knew that for 1/2 cup it costs 75 cents.
In the end my labels looked like this.
12 Cup Betty's Snack Mix
6 Cups of Spicy Shreddies
4 Cups of Peanuts
2 Cups of Pretzels
Cost : $18.00
1/2 Cup Betty's Snack Mix
1/4 cup of Spicy Shreddies
1/3 cup of Peanuts
1/12 cup of Pretzles
Cost : 75 cents