A woman plans to buy some bottles of soft drinks .a bottle of cola is #50 and a bottle of lemonade is # 40 and she doesn't have more than 1050:.the woman create cannot hold more than 24 bottles
Write down the inequalities which must be satisfied
Let x be the number of bottles of cola and y be the number of bottles of lemonade.
The cost of x bottles of cola is 50x.
The cost of y bottles of lemonade is 40y.
The total cost of the drinks cannot exceed 1050:
50x + 40y ≤ 1050
The woman cannot buy more than 24 bottles:
x + y ≤ 24
Therefore, the inequalities that must be satisfied are:
50x + 40y ≤ 1050
x + y ≤ 24
Let's assume the woman wants to buy x bottles of cola and y bottles of lemonade.
The cost of x bottles of cola is 50x.
The cost of y bottles of lemonade is 40y.
The total cost of the bottles cannot exceed 1050, so we have the inequality:
50x + 40y ≤ 1050
The woman cannot buy more than 24 bottles in total, so we have the inequality:
x + y ≤ 24
Therefore, the inequalities are:
50x + 40y ≤ 1050
x + y ≤ 24