if there are 25% more basketballs than footballs in a store and there is a total of 54 balls in the store, how many more basketballs than footballs are there?

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joaobezerra joaobezerra · Answer 1 · 2020-02-24T18:30:20+01:00

Answer:

6 more basketballs than footballs.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of basketballs is the store

y is the number of footballs in the store

54 balls in the store

This means that [tex]x + y = 54[/tex]

25% more basketballs than footballs

This means that [tex]x = 1.25y[/tex]

So

[tex]x + y = 54[/tex]

[tex]x = 1.25y[/tex]

Then

[tex]1.25y + y = 54[/tex]

[tex]2.25y = 54[/tex]

[tex]y = \frac{54}{2.25} = 24[/tex]

And

[tex]x = 1.25y = 1.25*24 = 30[/tex]

There are 30 basketballs and 24 footballs. So 6 more basketballs than footballs.