Answer to Question #136512 in Algebra for Faith

Question

1.express each of these relationships as a rate in it's simplest form.
1.1. 12kg for R5.
1.2. 120 litres for 1000km.
1.3. R355 for two nights.
1.4. 7km in 28 min.
1.5. 145 students for five teachers.

Answer 1

1.1 12 kg for Rs.5

Price for 1 kg = Rs. (5/12) = Rs. 0.4167 = Rs. 0.412

$\therefore$ 1 kg for Rs.0.412

1.2 120 litres for 1000 km

Kms per litre = (1000/120) = 8.33 km

$\therefore$ 1 litre for 8.33 km

1.3 Rs. 355 for two nights

Price per night = Rs. (355/2) = Rs. 177.5

$\therefore$ Rs. 177.5 for one night

1.4 7 km in 28 min

Km in 1 mins = (7/28) km = 0.25 km

$\therefore$ 0.25 km in 1 min

1.5 145 students for five teachers

No. Of Students for 1 teacher = 145/5 = 29

$\therefore$ 29 students for 1 teacher