Question

1) A store sells small and large TV sets in the ratio 2:3. The total stock is 70

sets.1) How many small and large sets are in stock? 2)If the number of large
sets is increased by 8,what is the new ratio of small to big*

Answer 1

(a)

`Small = 28`

`Large = 42`

(b)

`Ratio = 14 : 25`

Explanation:

Given

`L = Large\\ S = Small`

`S : L = 2 : 3`

`Total = 70`

Solving (a): Number of each set.

The small set is calculated as:

`Small = (S)/(S + T) * Total`

`Small = (2)/(2+3) * 70`

`Small = (2)/(5) * 70`

`Small = 0.4 * 70`

`Small = 28`

Using complement rule.

`Large = Total - Small`

`Large = 70 - 28`

`Large = 42`

Solving (b): Increase large by 8.

The ratio is then calculated as:

`Ratio = Small : Large + 8`

`Ratio = 28 : 42 + 8`

`Ratio = 28 : 50`

Divide by 2

`Ratio = 14 : 25`