Answer:
$19.
Step-by-step explanation:
Let H be the amount spent by Hector and F be the amount spent by Francis.
We have been given that Hector and Francis a spent total of $47.50 at the mall. We can represent this information in an equation as:
\(H+F=47.50...(1)\)
We are also told that Hector spent 50% more than Francis. We can represent this information in an equation as:
\(H=F+(\frac{50}{100}*F)...(2)\)
\(H=F+0.50F...(2)\)
\(H=1.50F...(2)\)
We will use substitution method to solve system of linear equations.
Upon substituting equation (2) in equation (1) we will get,
\(1.50F+F=47.50\)
\(2.50F=47.50\)
Let us divide both sides of our equation by 2.50.
\(\frac{2.50F}{2.50}=\frac{47.50}{2.50}\)
\(F=19\)
Therefore, Francis spent $19 at the mall.
