# How do you solve 5.4= 1.7+ \frac { t } { 7} + 0.2?

Jun 8, 2018

$24.5$

#### Explanation:

$54 = 17 + \frac{10 t}{7} + 2$

$35 = \frac{10 t}{7}$

$t = 3.5 \cdot 7$

Jun 8, 2018

$t = 24.5$

#### Explanation:

Start by adding the numbers on the right-hand side:

$5.4 = 1.7 + 0.2 + \left(\frac{t}{7}\right)$

You get,

$5.4 = 1.9 + \left(\frac{t}{7}\right)$

Take the $1.9$ to the other side and flip the sign.

$5.4 - 1.9 = \left(\frac{t}{7}\right)$

Subtract,

$3.5 = \left(\frac{t}{7}\right)$

Since $t$ is being divided by $7$ in the fraction, $7$ will go by multiplication,

$3.5 \times 7 = t$

Multiply the numbers,

$24.5 = t$

OR

$t = 24.5$