# How do you solve d + q = 31 and 10d + 25q=5.95?

Aug 1, 2015

$d = 51.27$
$q = - 20.27$

#### Explanation:

First, notice that $10 d + 25 q = \left(10 d + 10 q\right) + 15 q$

and that $\left(10 d + 10 q\right) = 10 \left(d + q\right) = 10 \cdot 31 = 310$

You will conclude that:
$310 + 15 q = 5.95 \rightarrow 15 q = 5.95 - 310 \rightarrow q = \frac{5.95 - 310}{15} = - 20.27$

From here, you can easily conclude that:
$d + \left(- 20.27\right) = 31 \rightarrow d = 31 + 20.27 = 51.27$