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Answer :
Let's go through each question one by one and provide a step-by-step solution for each:
3. The cost of breakfast cereal is R36 for 1 kg. Calculate how much 5 kg of breakfast cereal will cost.
Step 1: Identify the cost per kg of breakfast cereal, which is R36.
Step 2: Multiply the cost per kg by the number of kilograms you wish to purchase:
[tex]\[ \text{Total cost} = 36 \times 5 = R180 \][/tex]
So, 5 kg of breakfast cereal will cost R180.
4. How many learners can a school enroll if there are 12 teachers and the ratio of learners to teachers is 30:1?
Step 1: Identify the ratio of learners to teachers, which is 30:1. This means there are 30 learners for every teacher.
Step 2: Multiply the number of teachers by the number of learners per teacher:
[tex]\[ \text{Total learners} = 12 \times 30 = 360 \][/tex]
Therefore, the school can enroll 360 learners.
5. a) Five litres of paint cost R210. Work out the cost of fifteen litres of paint.
Step 1: Find the cost per litre of paint:
[tex]\[ \text{Cost per litre} = \frac{210}{5} = R42 \][/tex]
Step 2: Multiply the cost per litre by the number of litres (15 litres):
[tex]\[ \text{Total cost for 15 litres} = 42 \times 15 = R630 \][/tex]
So, fifteen litres of paint will cost R630.
5. b) Mr. Jones has a budget of R650 to buy paint. Is the total price within his budget?
Step 1: Compare the total cost from part a (R630) with Mr. Jones's budget (R650).
Since R630 is less than R650, the total price is within his budget.
6. A factory produces 32 tables in an 8-hour day. Calculate how many tables are produced:
a) In 1 hour
Step 1: Divide the total number of tables produced per day by the number of hours worked:
[tex]\[ \text{Tables per hour} = \frac{32}{8} = 4 \][/tex]
So, in 1 hour, 4 tables are produced.
b) In 3 days
Step 1: Multiply the number of tables produced per day by the number of days (3):
[tex]\[ \text{Total tables in 3 days} = 32 \times 3 = 96 \][/tex]
Thus, in 3 days, 96 tables are produced.
c) In a 5-day week
Step 1: Multiply the number of tables produced per day by the number of days in the week (5):
[tex]\[ \text{Total tables in a week} = 32 \times 5 = 160 \][/tex]
Therefore, in a 5-day week, 160 tables are produced.
3. The cost of breakfast cereal is R36 for 1 kg. Calculate how much 5 kg of breakfast cereal will cost.
Step 1: Identify the cost per kg of breakfast cereal, which is R36.
Step 2: Multiply the cost per kg by the number of kilograms you wish to purchase:
[tex]\[ \text{Total cost} = 36 \times 5 = R180 \][/tex]
So, 5 kg of breakfast cereal will cost R180.
4. How many learners can a school enroll if there are 12 teachers and the ratio of learners to teachers is 30:1?
Step 1: Identify the ratio of learners to teachers, which is 30:1. This means there are 30 learners for every teacher.
Step 2: Multiply the number of teachers by the number of learners per teacher:
[tex]\[ \text{Total learners} = 12 \times 30 = 360 \][/tex]
Therefore, the school can enroll 360 learners.
5. a) Five litres of paint cost R210. Work out the cost of fifteen litres of paint.
Step 1: Find the cost per litre of paint:
[tex]\[ \text{Cost per litre} = \frac{210}{5} = R42 \][/tex]
Step 2: Multiply the cost per litre by the number of litres (15 litres):
[tex]\[ \text{Total cost for 15 litres} = 42 \times 15 = R630 \][/tex]
So, fifteen litres of paint will cost R630.
5. b) Mr. Jones has a budget of R650 to buy paint. Is the total price within his budget?
Step 1: Compare the total cost from part a (R630) with Mr. Jones's budget (R650).
Since R630 is less than R650, the total price is within his budget.
6. A factory produces 32 tables in an 8-hour day. Calculate how many tables are produced:
a) In 1 hour
Step 1: Divide the total number of tables produced per day by the number of hours worked:
[tex]\[ \text{Tables per hour} = \frac{32}{8} = 4 \][/tex]
So, in 1 hour, 4 tables are produced.
b) In 3 days
Step 1: Multiply the number of tables produced per day by the number of days (3):
[tex]\[ \text{Total tables in 3 days} = 32 \times 3 = 96 \][/tex]
Thus, in 3 days, 96 tables are produced.
c) In a 5-day week
Step 1: Multiply the number of tables produced per day by the number of days in the week (5):
[tex]\[ \text{Total tables in a week} = 32 \times 5 = 160 \][/tex]
Therefore, in a 5-day week, 160 tables are produced.
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