Question

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.

Answer 1

THE ANWSER IS 2 CAUSE U HAVE TO DIVIDE

Answer 2

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

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,
`y= 2.5x`

That is,
`(y)/(x)=(2.5)/(1)`

That is,
`(y)/(x)=(5)/(2)`

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,

`x+y=35`

i.e.
`x+2.5x=35`

i.e.
`3.5x=35`

i.e. x= 10

So,
`y= 2.5x` implies
`y= 2.5* 10` 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.