Question

Marjorie bought 24 bottles of juice. Each day she opens and drinks 2 of these bottles of juice. Which inequality represents the greatest number of days she can continue before she has to replenish her stock? Answers 2d>24, 2d<24, 2d≤24, 2d≥24

Answer 1

2d≤24

Explanation:

Total number of bottled juice bought = 24 bottles

Amount she drank each day = 2 bottles

To get the inequality to represent greatest number of days she can continue before she has to replenish her stock, we will say;

1 day = 2 bottles

d days = 24 bottles

Cross multiply

2 * d = 1 * 24

2d = 24

Since we want to know the greatest number of days she can continue before she has to replenish her stock, the equal to to sign will be replaced with less than or equal to sign as shown;

2d≤24

This shows that the maximum number of days she can continue before replenishing is 12days. It cannot exceed