Question

The battery on McKenzie's old computer can last for 4 1/5 hours. She bought a new computer that has a battery that can last 40% longer. How long can the battery on McKenzie's new computer last?

Answer 1

Answer:

$5\frac{22}{25}\ hours$

Step-by-step explanation:

we know that

$4\frac{1}{5}\ hours=\frac{4*5+1}{5}=\frac{21}{5}\ hours$$100\%+40\%=140\%=\frac{140}{100}$

Let

x ------> new battery life

The equation that represent this situation is

$x=(\frac{140}{100})(\frac{21}{5})=\frac{2,940}{500}\ hours$

convert to mixed number

$\frac{2,940}{500}=\frac{2,500}{500}+\frac{440}{500}=5\frac{22}{25}\ hours$