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A sporting goods store sold 2.5 times as many footballs as basketballs last year. Which statement is true?

1.The ratio of footballs to basketballs is 2:5
2.If a total of 35 footballs and basketballs were sold, 10 of them were footballs.
3.There were 5 footballs sold for every 2 basketballs.
4.The ratio of basketballs to footballs is 5:2.

Respuesta :

THE ANWSER IS 2 CAUSE U HAVE TO DIVIDE

Answer:

3. There were 5 footballs sold for every 2 basketballs.

Step-by-step explanation:

Let the number of basketball = x and the number of football = y.

It is given that, 'the number of footballs were 2.5 times the number of basketballs last year'.

That is, [tex]y= 2.5x[/tex]

That is, [tex]\frac{y}{x}=\frac{2.5}{1}[/tex]

That is, [tex]\frac{y}{x}=\frac{5}{2}[/tex]

That is, the ratio of football to basket ball is 5 : 2.

Which means, 'For every 2 basketballs, 5 footballs were sold'.

So, option 3 is true but options 1 and 4 are not true.

Moreover, 'if there were total 35 balls sold', we have,

[tex]x+y=35[/tex]

i.e. [tex]x+2.5x=35[/tex]

i.e. [tex]3.5x=35[/tex]

i.e. x= 10

So, [tex]y= 2.5x[/tex] implies [tex]y= 2.5\times 10[/tex] i.e. y= 25.

Thus, for total 35 balls sold, 10 were basketballs and 25 were footballs.

So, option 2 is not true.

Hence, the correct answer is option D.

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