Arlene scored twice as many points as rachana. Together they scored 162 points. How many points did arlene score?

Answer 1

These problems are easy to recognize as a system of linear equations. If your ever stuck, start by assigning variables and trying to make an equation using the information given.

For clarity, let Arlene's score be represented by $$a$$ and Rachana's score denoted by $$r$$.

Because Arlene's score is twice as much as Rachana, we get the first equation:

$$a = 2r$$

We also know that together, they scored 162 points. Thus,

$$a + r = 162$$.

Let's rewrite the first equation as $$r = \frac{a}{2}$$. Then we can substitute this into the second equation as follows:

$$a + \frac{a}{2} = 162$$.

Now you should be able to solve for $$a$$ on your own to figure out the number of points that just Arlene scored.