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Alona [7]
3 years ago
7

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?
Mathematics
2 answers:
Zigmanuir [339]3 years ago
5 0
Francis spent $19 and Hector spent $28.50
Vitek1552 [10]3 years ago
4 0

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.

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