Question

If Elena were to give Bonnie $20\%$ of her money,Bonnie would have one-fourth less than the amount that Elena would have after giving the money to Bonnie. If Bonnie has $\$60.00$ less than Elena, how much money , in dollars, does Elena have now?

Answer 1

Let the amount Elena has be $\$100$

Bonnie has $\$60$ less than Elena, $x-60$

After Elena gives out 20%

$Elena=\frac{80}{100}x$

$Bonnie=x-60+\frac{20}{100}x$

The amount Bonnie has in a fourth less than what Elena has, meaning it is 75% of what Elena has

$x-60+\frac{20}{100}x=\frac{75}{100}\times \frac{80}{100}x$

$\frac{6}{5}x-60=\frac{3}{5}x$

$\frac{6}{5}x=\frac{3}{5}x=60$

$\frac{3}{5}x=60$

$x=100$

Elena has $\$100$ now