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.

a) Let x be the number of packets of soya pieces of type A and y 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 ≤ 18000 Divide by 100 to simplify: 4x + 9y ≤ 180 Step 2: Write the inequality for the total number of packets. The vendor does not want to buy more than 30

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.

a) Let x be the number of packets of soya pieces of type A and y 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 ≤ 18000 Divide by 100 to simplify: 4x + 9y ≤ 180 Step 2: Write the inequality for the total number of packets. The vendor does not want to buy more than 30

Solved: A vendor spends up to K18 000 to buy soya pieces of…

a) Let $x$ be the number of packets of soya pieces of type A and $y$ be the number of packets of soya pieces of type B.

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.
$400x + 900y \le 18000$
Divide by 100 to simplify:
$\boxed{4x + 9y \le 180}$
Write the inequality for the total number of packets.
The vendor does not want to buy more than 30

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.

Answer

Step-by-step solution

Write the inequality for the total cost.

Write the inequality for the total number of packets.

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