A vendor spends up to K18 000 to buy soya pieces of type A and B. He buys at most 30 packets total, and at least 5 of each. A packet of A costs K400, B costs K900. Profit on A is K20, on B is K25. Write inequalities for this scenario.

Mathematics
A vendor spends up to K18 000 to buy soya pieces of type A and B. He buys at most 30 packets total, and at least 5 of each. A packet of A costs K400, B costs K900. Profit on A is K20, on B is K25. Write inequalities for this scenario.

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Answer

4x+9y≤1804x + 9y \le 180

a) Let xx be the number of packets of soya pieces of type A and yy be the number of packets of soya pieces of type B.

Step 1: Write the inequality for the total cost. A packet of type A costs K400, and a packet of type B costs K900. The vendor can spend up to K18 000. 400x+900y≤18000400x + 900y \le 18000 Divide by 100 to simplify: 4x+9y≤180\boxed{4x + 9y \le 180}

Step 2: Write the inequality for the total number of packets. The vendor does not want to buy more than 30

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