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There are only orange, green, and blue gummy worms in the jar. The ratio of the number of orange gummy worms to the number of green worms to the number of blue ones is 6:5:7. If there are 15 green gummy worms, find the total number of worms in the jar.

a) 120
b) 105
c) 135
d) 90

User Estn
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1 Answer

4 votes

Final answer:

The ratio of orange to green to blue gummy worms is 6:5:7. Each ratio unit equals 3 worms based on 15 green worms. The total number of worms calculated is 54, which is not listed in the provided choices.

Step-by-step explanation:

The subject of the question is Mathematics. We are given a ratio problem where the ratio of the number of orange gummy worms to green worms to blue worms is 6:5:7. Since there are 15 green gummy worms, we can use this information to determine the total number of worms in the jar.

To solve the problem, follow these steps:

  1. First, understand that the ratios represent relative quantities. The ratio for green gummy worms is 5, and since we know there are 15 green worms, each 'unit' of the ratio represents 15 divided by 5, which equals 3.
  2. Then, multiply each part of the ratio by the value of one unit to get the number of worms of each color: orange (6 units), green (5 units), and blue (7 units).
  3. Since each unit is equal to 3 worms (from step 1), calculate the total number of worms:
    • Orange: 6 units × 3 = 18 worms
    • Green: 5 units × 3 = 15 worms
    • Blue: 7 units × 3 = 21 worms
  4. Add the numbers of each color to find the total number: 18 (orange) + 15 (green) + 21 (blue) = 54 worms in total.

The correct answer is not listed among the options provided, so there might be a typo or mistake in the question or answer choices. The total number of worms in the jar is 54.

User Kiatng
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