Subira’s bank account has 2p fewer dollars than her brother Barak’s. If together Subira and Barak have 12p dollars in their bank accounts, in terms of p, how many dollars does Barak have?

2p

5p

6p

7p

12p

**Solution:**

Let s = the amount of money in Subira's bank account and b = the amount of money in Barak’s account. Since Subira has 2p fewer dollars than Barak, we can write equation 1 as the following:

$\Rightarrow s=b-2p$

If together they have 12p dollars in their bank accounts, then equation 2 can be the following:

$\Rightarrow s+b=12p$

We can substitute b - 2p from equation 1 for s in equation 2:

$\begin{array}{l}\Rightarrow (b-2p)+b=12p\\ \Rightarrow 2b-2p=12p\\ \Rightarrow 2b=14p\\ \Rightarrow b=7p\end{array}$

Thus, Barak has 7p dollars.