On Saturday, the fruit and juice bar was selling 30 glasses of fruit punch an hour. By 5 p.m., they had sold 210 glasses. If their goal was to sell more than 360 glasses of fruit punch, find the number of hours, h, they must stay open to make their goal.

Question

A h>5
B h>15
C h>12
D h>7

Answer 1

To find the number of hours the fruit and juice bar must stay open to make their goal of selling more than 360 glasses of fruit punch, we need to set up an inequality.

The fruit and juice bar is selling 30 glasses of fruit punch an hour, and by 5 p.m., they had sold 210 glasses. This means they had been open for 7 hours (5 p.m. - 10 a.m.).

Let h be the number of additional hours they need to stay open to make their goal. The total number of glasses sold after h hours can be calculated as:

30 glasses/hour * (7 hours + h) > 360 glasses

210 + 30h > 360
30h > 150
h > 5

Therefore, the fruit and juice bar must stay open for more than 5 additional hours to make their goal of selling more than 360 glasses of fruit punch. So, the answer is:

A) h > 5

Answer 2

are you sure its correct?

Answer 3

Let me check the calculations once again:

Starting from 210 glasses, the juice bar wants to sell more than 360 glasses. So, the required additional glasses to be sold is:

360 - 210 = 150 glasses

Since the juice bar sells 30 glasses per hour, they need to find how many hours are required to sell an additional 150 glasses:

150 glasses ÷ 30 glasses/hour = 5 hours

Therefore, the juice bar must stay open for more than 5 hours to reach their goal of selling more than 360 glasses of fruit punch.

So, the correct answer is:

A) h > 5