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There are 10 less red Skittles than orange Skittles in the bag. The Orange Skittles are also twice the number of red Skittles. Find the number of red and orange Skittles in the bag.

User Ollie C
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2 Answers

4 votes

There are 10 red Skittles and 20 orange Skittles. Hope this helps! :D

User Cassie
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5 votes

Answer:

There are 10 Red skittles and 20 Orange Skittles

Explanation:

Let's call X the number of red skittles in the bag and Y the number of Orange Skittles in the bag.

If we know that there are 10 less red Skittles than orange Skittles in the bag, we can formulate the following equation:

X = Y - 10

Additionally, we know that the Orange Skittles are twice the number of red Skittles, so we can formulate the following equation:

Y = 2*X

Replacing this last equation on the first and solving for X, we get:

X = Y - 10

X = (2*X) - 10

X + 10 = 2*X

10 = 2*X - X

10 = X

Now, we have the value of X and we can replace this on the equation Y = 2*X and found Y as:

Y = 2*(10) = 20

Then, if X is equal to 10, the number of red skittles in the bag are 10 and Y is equal to 20, so the number of Orange skittles in the bag are 20.

User Shakema
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