Question

Using Proportions to Make a Prediction

Answer 1

○=> Solution (1) :

Ratio of people who said they like cereal bars to people who said they don't = 14:11

Number of people at a grocery shop = 500

Which means :

$=\tt \frac{14}{25} \times 500$

$=\tt \frac{14 \times 500}{25}$

$= \tt \frac{7000}{25}$

$\color{plum}= \tt280 \: people$

Thus, 280 people would buy cereal bars.

▪︎Therefore, out of 500 people, 280 people would buy cereal bars.

○=> Solution (2) :

Ratio of cars which worked well to cars which were defective = 297:3

Number of care produced each day = 1000

Number of defective cars produced each day :

$= \tt \frac{3}{200} \times 1000$

$=\tt \frac{3 \times 1000}{200}$

$= \tt\frac{3000}{200}$

$\color{plum} = \tt15 \: defective \: cars$

Thus, 15 defective cars are produced.

▪︎Therefore, out of 1000 cars produced each day, 15 cars are defective.