Question

The ratio of the weight of vegetables sold to the weight of fruits sold is 45 : 144.

a) How many times the weight of vegetables sold is the weight of fruits sold?
b) What fraction of the total weight of vegetables and fruits sold is the weight of vegetables sold?

Answer 1

a)
`3(1)/(5)\ times`

b)
`(5)/(21)`

Explanation:

a) Given the ratio of the weight of vegetables sold to the weight of fruits sold:

`45:144`

In order to calculate how many times the weight of vegetables sold is the weight of fruits sold, we must dive 144 by 45:

`(144)/(45)=(16)/(5)`

Now we can make the conversion from improper fraction to mixed number:

- When we divide 16 by 5, we get a quotient of 3. This will be the whole number part.

- The remainder we get is 1; this will be the numerator of the fraction.

- The denominator does not change.

Then we get:

`3(1)/(5)`

Therefore, the weight of the vegetables sold is
`3(1)/(5)` times the weight of fruits sold.

b) When we add 45 and 144, we get this total weight:

`45+144=189`

Then, in order to find what fraction of the total weight of vegetables and fruits sold is the weight of vegetables sold, we can divide 45 by 189:

`(45)/(189)=(5)/(21)`