Question

Basemera is given UGX 5000 to buy x packets of biscuits and y apples.A packet of biscuits costs UGX 1,500 and an apple costs UGX 1000.She is told to buy at least 6 items altogether,but she must not buy more apples than biscuits.Write down three inequalities which satisify the conditions above.

Answer 1

Basemera must satisfy three conditions given her UGX 5000 budget: the cost of x packets of biscuits and y apples cannot exceed the budget, she must buy at least 6 items, and she cannot buy more apples than biscuits, yielding three inequalities.

Step-by-step explanation:

Basemera is working with a budget constraint when buying packets of biscuits and apples. With UGX 5000 to spend, she faces three main conditions. Firstly, the cost of x packets of biscuits at UGX 1500 each and y apples at UGX 1000 each must not exceed her total budget.

Secondly, she is instructed to purchase at least 6 items in total. The third condition is that the number of apples must not be more than the number of biscuit packets. Translating these conditions into mathematical inequalities, we get:

• 1500x + 1000y ≤ 5000 - The total cost must not exceed UGX 5000.
• x + y ≥ 6 - She must buy at least 6 items in total.
• y ≤ x - The number of apples must be less than or equal to the number of packets of biscuits.