# Amy used 3 gallons of paint to cover 2,100 ft^2 of wall space inside her house. How much wall space can she paint with 7 gallons?

Nov 15, 2016

$4900 f {t}^{2}$

#### Explanation:

If $3$ gallons of paint were used for $2100 f {t}^{2}$ of wall space, $1$ gallon of paint would be used for one third that wall space. This can be written as:

$x = \frac{2100}{3}$

$x = 700$

Hence, $1$ gallon of paint can cover $700 f {t}^{2}$ of wall space.

To determine the amount of wall space ($y$) that can be covered with $7$ gallons of paint, we can write:

$y = 700 \times 7$

$y = 4900$