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Elijah found 9 times as many flowers as mushrooms while walking through the forest. Altogether he found 80 flowers and mushrooms. How many flowers did Elijah find?

User Aarkerio
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2 Answers

4 votes

Final answer:

To find out how many flowers Elijah found, we set up the equation F = 9M (where F represents the number of flowers and M represents the number of mushrooms), coupled with F + M = 80. Solving for M first, we found M = 8, which means F = 9M = 72. Therefore, Elijah found 72 flowers.

Step-by-step explanation:

The question requires us to solve a simple algebra problem to find out how many flowers Elijah found if he found 9 times as many flowers as mushrooms and in total found 80 flowers and mushrooms.

Step-by-Step Solution:

  1. Let's denote the number of flowers Elijah found as F, and the number of mushrooms as M.
  2. According to the problem, Elijah found 9 times as many flowers as mushrooms, which can be represented as F = 9M.
  3. We also know that the total number of flowers and mushrooms is 80, so we can write this equation as F + M = 80.
  4. Now, substituting 9M for F in the second equation, we get 9M + M = 80.
  5. Combining like terms, we have 10M = 80.
  6. Dividing both sides of the equation by 10 gives us M = 8.
  7. We know that F = 9M, so we multiply 8 by 9 to find F, which equals 72.

Therefore, Elijah found 72 flowers.

User JClaspill
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8.0k points
2 votes

Final answer:

Elijah found 72 flowers and 8 mushrooms in the forest, with the quantity of flowers being 9 times the mushrooms and the total being 80.

Step-by-step explanation:

Elijah found 9 times as many flowers as mushrooms while walking through the forest. If the total number of flowers and mushrooms is 80, to find out how many flowers there are, we should let the number of mushrooms be 'm' and the number of flowers be '9m' (since it's 9 times the mushrooms).

Now, we can set up an equation: m + 9m = 80. When we combine like terms, we get 10m = 80. To solve for 'm,' we divide both sides of the equation by 10, which gives us m = 8.

Since the number of flowers is 9 times the number of mushrooms, we multiply 8 by 9 to find the number of flowers: 9 * 8 = 72 flowers.

User Weivall
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