Question

M,

Lauren has watermelons and oranges in a ratio of 88:14. How many watermelons
does she have if she has 7 oranges?

Answer 1

Lauren has 44 watermelons

Explanation:

Let us use W to denote the number of watermelons and O to denote the number of oranges

We have

W:O = 88:14

This can be represented as a fraction:

`(W)/(O) = (88)/(14)`

Divide numerator and denominator of
`(88)/(14)` by 2


`(88 / 2)/(14 / 2) = (44)/(7)\\\\\\\\\mathrm{So\; (W)/(O) = (44)/(7)}\\\\`

This means for every 7 oranges there are 44 times that number of watermelons

Since we are given that there are 7 oranges she should have 44 watermelons

Another way of looking at this is from the relation

`(W)/(O) = (44)/(7)}\\\\`

Putting in O = 7 we get

`(W)/(7) = (44)/(7)\\\\`

Since the denominators are the same the numerators must be the same i.e. W = 44

Lauren has 44 watermelons