Question

In a taste test people were asked which of 4 soft drinks they liked best. of those surveyed 1/3 chose orange crush 2/5 chose killa kola and 1/6 chose lime sublime. what fraction chose the fourth drink pls show all work and answer

Answer 1

To find the fraction of people who chose the fourth drink, we subtract the fractions of people who chose the other three drinks from 1. The fraction is 3/30.

Step-by-step explanation:

To determine the fraction of people who chose the fourth drink, we need to subtract the fractions of people who chose the other three drinks from 1.

The fraction of people who chose Orange Crush is 1/3, the fraction of people who chose Killa Kola is 2/5, and the fraction of people who chose Lime Sublime is 1/6.

To find the fraction of people who chose the fourth drink, we subtract the sum of these three fractions from 1: 1 - 1/3 - 2/5 - 1/6.

To simplify this calculation, we can find a common denominator for the fractions. The least common multiple of 3, 5, and 6 is 30.

Converting the fractions to have a denominator of 30, we get: 30/30 - 10/30 - 12/30 - 5/30 = 3/30.

Therefore, the fraction of people who chose the fourth drink is 3/30.

Answer 2

1/3 = 10/30
2/5 = 12/30
1/6 = 5/30
sum of all of them = 27/30
the fraction that chose the lime sublime is 1/10