Question

1. A bowl contains 58 red and yellow Skittles. The number of red Skittles is 10 more than twice the number of yellow Skittles. How many of each color are in the bowl? Define your variables and write a system of equations that could be used to determine the number of red and yellow Skittles in the bowl.

Answer 1

Let x be the number of red skittles and y be the number of yellow skittles.

Sice we have a total of 58 skittles we have the equation:

`x+y=58`

We also know that the number of red skittles, that is x, is 10 more than twice the number of yellow ones, this can be express as:

`x=2y+10`

Then we have the system of equations:

`\begin{gathered} x+y=58 \\ x=2y+10 \end{gathered}`

to determine the number of each color of skittles.