I. For the following exercises, use this scenario: Kelly opened a bag of colored chocolate coated candies and counted the number of each color of candy. She found she had 9 green, 4 yellow, 13 black, 11 orange, 8 blue, and 7 red. What is the ratio of the following candy colors?
9. Candies with the letter ‘r’ in their name to all candies
10. Candies with the letter ‘r’ in their name to candies without the letter ‘r’ in their name
To find the ratio of candies with the letter 'r' in their name to all candies, we need to add up the number of candies with the letter 'r' in their name and divide it by the total number of candies.
The number of candies with the letter 'r' in their name is 7 (red candies). And the total number of candies is 9 + 4 + 13 + 11 + 8 + 7 = 52.
Therefore, the ratio of candies with the letter 'r' in their name to all candies is 7/52.
To find the ratio of candies with the letter 'r' in their name to candies without the letter 'r' in their name, we need to calculate the number of candies with the letter 'r' in their name and the number of candies without the letter 'r' in their name.
The number of candies with the letter 'r' in their name is 7 (red candies).
The number of candies without the letter 'r' in their name is 9 + 4 + 13 + 11 + 8 + 7 = 52 (total candies) - 7 (candies with the letter 'r' in their name) = 45.
Therefore, the ratio of candies with the letter 'r' in their name to candies without the letter 'r' in their name is 7/45.
For the following exercises, solve each proportion for the unknown variable
x/46=4/8
To solve the proportion x/46 = 4/8, we can cross multiply.
Cross multiplying gives us:
8 * x = 4 * 46
Simplifying:
8x = 184
To isolate x, divide both sides of the equation by 8:
x = 184/8
Simplifying the right side:
x = 23
Therefore, the value of x in the proportion x/46 = 4/8 is 23.
For the following exercises, solve each proportion for the unknown variable
27/x=3.5/14
To solve the proportion 27/x = 3.5/14, we can cross multiply.
Cross multiplying gives us:
3.5 * x = 27 * 14
Simplifying:
3.5x = 378
To isolate x, divide both sides of the equation by 3.5:
x = 378/3.5
Simplifying the right side:
x = 108
Therefore, the value of x in the proportion 27/x = 3.5/14 is 108.
To solve the proportion 27/x = 3.5/14, we can cross multiply.
16/7=x/14
To solve the proportion 16/7 = x/14, we can cross multiply.
Cross multiplying gives us:
16 * 14 = 7 * x
Simplifying:
224 = 7x
To isolate x, divide both sides of the equation by 7:
x = 224/7
Simplifying the right side:
x = 32
Therefore, the value of x in the proportion 16/7 = x/14 is 32.