“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 a bag.”
*Put the red # first,orange # with no spaces
6red20orange
Let's solve the problem step-by-step:
Step 1: Let's assume the number of red Skittles in the bag is "x."
Step 2: According to the given information, there are 10 fewer red Skittles than orange Skittles. So, the number of orange Skittles would be "x + 10."
Step 3: It is also given that the orange Skittles are twice the number of red Skittles. So, we can set up the equation: x + 10 = 2x.
Step 4: Solve the equation for x:
Subtract x from both sides of the equation: 10 = x.
Therefore, x = 10.
Step 5: Now, substitute the value of x (which represents the number of red Skittles) into the equations from steps 1 and 2.
Number of red Skittles = 10.
Number of orange Skittles = x + 10 = 10 + 10 = 20.
So, the number of red and orange Skittles in the bag is: 10 red Skittles and 20 orange Skittles.
To solve this problem, we need to set up a system of equations based on the given information.
Let's assume the number of red skittles in the bag is "R," and the number of orange skittles is "O."
According to the first statement, "There are 10 less red skittles than orange skittles in the bag," we can write the equation:
R = O - 10
The second statement states that "the orange skittles are also twice the number of red skittles," which leads to another equation:
O = 2R
Now, we can solve this system of equations to find the values of R (red skittles) and O (orange skittles).
Substituting the value of O from the second equation into the first equation, we have:
R = (2R) - 10
Simplifying this equation, we get:
R = 10
Now, substituting this value of R back into the second equation, we find:
O = 2(10)
O = 20
Therefore, the number of red skittles is 10, and the number of orange skittles is 20.