Question

Hector and Francis a spent total of $47.50 at the mall. If Hector spent 50% more than Francis, how much did Francis spend at the mall?

Answer 1

Francis spent $19 and Hector spent $28.50

Answer 2

$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+((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.

`(2.50F)/(2.50)=(47.50)/(2.50)`

`F=19`

Therefore, Francis spent $19 at the mall.