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MIP1501 Assignment 3 (COMPLETE ANSWERS) 2025 –DUE 30 JULY 2025;100% trusted ,comprehensive and complete reliable solution with clear explanation

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MIP1501 Assignment 3 (COMPLETE ANSWERS) 2025 –DUE 30 JULY 2025;100% trusted ,comprehensive and complete reliable solution with clear explanation

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Question 1




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Question 2



MIP1501 Assignment 3 (COMPLETE ANSWERS) 2025 –DUE 30
JULY 2025;100% trusted ,comprehensive and complete reliable
solution with clear explanation




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. (3)
1.2 .7 kg of tomatoes cost R 56,63. How much are you going to pay for 10
kg of tomatoes? (3)
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


ANSWERS
1.1. Fuel consumption problem
A tractor travels 90 km using 18 liters.
We need to find out how much fuel is needed for 130 km.
Step 1: Find fuel consumption per km:

18 𝑙𝑖𝑡𝑒𝑟𝑠90 𝑘𝑚
= 0.2 𝑙𝑖𝑡𝑒𝑟𝑠/𝑘𝑚\𝑓𝑟𝑎𝑐{18 \𝑡𝑒𝑥𝑡{ 𝑙𝑖𝑡𝑒𝑟𝑠}}{90 \𝑡𝑒𝑥𝑡{ 𝑘𝑚}}
= 0.2 \𝑡𝑒𝑥𝑡{ 𝑙𝑖𝑡𝑒𝑟𝑠/𝑘𝑚}90 𝑘𝑚18 𝑙𝑖𝑡𝑒𝑟𝑠 = 0.2 𝑙𝑖𝑡𝑒𝑟𝑠/𝑘𝑚
𝑺𝒕𝒆𝒑 𝟐: 𝑀𝑢𝑙𝑡𝑖𝑝𝑙𝑦 𝑏𝑦 130 𝑘𝑚:
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Question 3

0.2 × 130 = 26 𝑙𝑖𝑡𝑒𝑟𝑠0.2 \𝑡𝑖𝑚𝑒𝑠 130 = 26 \𝑡𝑒𝑥𝑡{ 𝑙𝑖𝑡𝑒𝑟𝑠}0.2 × 130
= 26 𝑙𝑖𝑡𝑒𝑟𝑠

✅ Final Answer: 26.00 liters


1.2. Tomato cost problem
7 kg costs R 56.63. Find the cost for 10 kg.
Step 1: Cost per kg:

56.637 = 8.09 𝑅/𝑘𝑔\𝑓𝑟𝑎𝑐{56.63}{7} = 8.09 \𝑡𝑒𝑥𝑡{ 𝑅/𝑘𝑔}756.63
= 8.09 𝑅/𝑘𝑔
𝑺𝒕𝒆𝒑 𝟐: 𝑀𝑢𝑙𝑡𝑖𝑝𝑙𝑦 𝑏𝑦 10 𝑘𝑔:
8.09 × 10 = 80.908.09 \𝑡𝑖𝑚𝑒𝑠 10 = 80.908.09 × 10 = 80.90

✅ Final Answer: R 80.90


1.3. Work rate problem (men building a wall)
30 men can build a wall in 20 days.
We want to know how long 25 men will take.
Use the formula:

𝑊𝑜𝑟𝑘 = 𝑀𝑒𝑛 × 𝐷𝑎𝑦𝑠\𝑡𝑒𝑥𝑡{𝑊𝑜𝑟𝑘 = 𝑀𝑒𝑛 ×
𝐷𝑎𝑦𝑠}𝑊𝑜𝑟𝑘 = 𝑀𝑒𝑛 × 𝐷𝑎𝑦𝑠
Step 1: Total work = 30 men × 20 days = 600 man-days
Step 2: Time taken by 25 men:

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