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Section A has two items. Item 1 is about a spice vendor. Item 2 is about data plans and cake baking. Both items have tasks.

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Here's the solution for Item 1:
Item 1
(a) Will the first client be able to get his order with the amount of C he wants?
Step 1: Determine the proportion of ingredient C in the original mixture. The original mixture consists of 2 cups of A, 3 cups of B, and 5 cups of C. Total cups in the mixture = cups. The proportion of ingredient C in the original mixture is:
Step 2: Compare the proportion of C in the original mixture with the client's requirement. The client wants the measure of ingredient C to be 0.6. Since , the original mixture does not meet the client's requirement.
Answer: No, the first client will not be able to get his order with the amount of C he wants, as the original mixture has a proportion of 0.5 for ingredient C, while the client requires 0.6.
(b) Determine the number of cups of B that will be needed for the 9 kg the second client has asked for.
Step 1: Determine the total number of cups required for 9 kg of spice. The original mixture of 10 cups yields 1.5 kg of spice. To find the number of cups per kg: For 9 kg of spice, the total cups needed are:
Step 2: Calculate the number of cups of B needed for 60 total cups. In the original mixture, there are 3 cups of B out of 10 total cups. The proportion of B is . Number of cups of B for the 9 kg order:
Answer: The number of cups of B needed for the 9 kg order is .
(c) Help the vendor to determine his new selling price for 1 kg in order to make his desired profit and the price of 9 kg that he will charge the client.
Step 1: Calculate the profit amount per kg. The cost to make 1 kg of spice is sh 4500. The desired profit is 30%.
Step 2: Calculate the new selling price per kg.
Step 3: Calculate the total price for 9 kg of spice.
Answer: The new selling price for 1 kg is , and the price of 9 kg that he will charge the client is .
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