A trader has shs 250,000,he buys boxes of books at shs 25000 each and boxes of candles at shs 10,000 each,the money spent on books is atleast shs50000 morethan that spent on candles,he buys atleast 5boxes of books and atleast 7boxes of candles.Write down 4 inequalities to represent the information

Suppressing all those trailing zeros,

25b + 10c <= 250
25b >= 50+10c
b >= 5
c >= 7

To represent the given information, we need to establish four inequalities. Let's break down the problem step by step:

Let's assume:
x = number of boxes of books
y = number of boxes of candles

1. The trader buys at least 5 boxes of books:
x ≥ 5

2. The trader buys at least 7 boxes of candles:
y ≥ 7

3. The money spent on books is at least shs 50,000 more than that spent on candles:
The cost of books is given by x * 25,000
The cost of candles is given by y * 10,000

To represent the inequality, we write:
x * 25,000 ≥ y * 10,000 + 50,000

4. The trader has shs 250,000:
The total cost of books is given by x * 25,000
The total cost of candles is given by y * 10,000

To represent the inequality, we write:
x * 25,000 + y * 10,000 ≤ 250,000

To summarize, the four inequalities to represent the information are:
x ≥ 5
y ≥ 7
x * 25,000 ≥ y * 10,000 + 50,000
x * 25,000 + y * 10,000 ≤ 250,000