AuthorWrite something about yourself. No need to be fancy, just an overview. Archives
April 2018
Categories
All

Back to Blog
Alexa was attempting to make muffins with blueberries. Her recipe required 3/4 cup of sugar and 1/8 cup of butter. Alexa accidentally put a whole cup of butter in the mix. Problem:A.
B. This got Alexa wondering how she could remedy similar mistakes if she were to dump in a single cup of some of the other ingredients. Assume she wants to keep the ratios the same.
Solution:A.
1. The ratio of cups of sugar to cups of butter is 3/4 : 1/8. If we multiply both numbers in the ratio by 8, we get an equivalent ratio that involves 1 cup of butter. 8 X 3/4 = 6, and 8 X 1/8 = 1 In other words, In other words, 3/4 : 1/8 is equivalent to 6:1, and so six cups of sugar is needed if there is one cup of butter. 2. In the previous part we saw that we have 8 times as much butter, so all the ingredients need to be increased by a factor of 8 for all the ratios to be the same in the new mixture. 3. The ratio of cups of blueberries to cups of butter is 3/8 : 1/8 in the original recipe, so Alexa will need to add 8 × 3/8 = 3 cups of blueberries to his new mixture. B. 1. The ratio of cups of sugar to cups of blueberries is 3/4 : 3/8. If we multiply both numbers in the ratio by 8/3, we get an equivalent ratio. 8/3 X 3/4 = 2 and 8/3 X 3/8 = 1 Since 3/4 : 3/8 is equivalent to 2 : 1, two cups of sugar is needed if there is one cup of blueberries. 2. The ratio of cups of butter to cups of sugar is 1/8 : 3/4. If we multiply both numbers in the ratio by 4/3, we get an equivalent ratio. 4/3 × 1/8=1/6 and 4/3× 3/4 = 1. In other words, 1/8 : 3/4 is equivalent to 1/6 : 1, and 1/6 cup of butter is needed if there is one cup of sugar. 3. The ratio of cups of blueberries to cups of sugar is 3/8 : 3/4. If we multiply both numbers in the ratio by 4/3, we get an equivalent ratio. 4/3×3/8=1/2 and 4/3×3/4=1. Since 3/8 : 3/4 is equivalent to 1/2:1, Alexa would need 1/2 cup of blueberries if there is one cup of sugar.
0 Comments
read more
Leave a Reply. 