Question 1
1.1. A tractor travels 90 kilometers on 18 liters of fuel. How much fuel will it need to travel 130
kilometers? Round off your answer to 2 decimal places.
Given:
90 kilometers → 18 liters of fuel
130 kilometers → ? liters of fuel
Step 1: Find the fuel consumption rate (liters per kilometer):
18 litres
Fuel consumption rate = = 0.2 liters per kilometer.
90km
Step 2: Find the fuel needed for 130 kilometers:
Fuel for 130 km = 0.2liters/km × 130km = 26liters
Answer: The tractor will need 26 liters of fuel to travel 130 kilometers.
1.2. 7 kg of tomatoes cost R 56,63. How much are you going to pay for 10 kg of tomatoes?
Given:
7 kg → R 56,63
10 kg → ?
Step 1: Find the cost per kilogram:
56,63
Cost per kg = 8,09 R/kg
7
Step 2: Find the cost for 10 kg:
Cost for 10 kg = 8,09R/kg × 10kg = 80,90R
Answer: You will pay R 80,90 for 10 kg of tomatoes.
, 1.3. If 30 men can build a wall of a shopping centre in 20 days, how long will it take 25 men to
build the exact same wall?
Given:
30 men → 20 days
25 men → ? days
Step 1: Set up the inverse relationship:
Men × Time = Constant
30 × 20 = 25 × Time
Step 2: Solve for the time:
30 x 20 600
Time = 24 days
25 25
Answer: It will take 24 days for 25 men to build the wall.
1.4. John is the catering manager at a lodge. He usually uses the following meat ration in a week
when he has 6 guests staying at the lodge:
1.4.1. How much does the Chicken cost per kg?
Given:
200g of chicken costs R 19
Step 1: Find the cost per gram:
Step 2: Find the cost per kilogram:
Answer: The chicken costs R 95 per kg.