Question

A bottling plant has 126,515 bottles with a capacity of 355mL, 108,500 caps,and 48,775 L of beverage.

a)How many bottles can be filled and capped?
b) How much of each item is left over?

Answer 1

A bottling plant has 126,515 bottles with a capacity of 355 mL, 108,500 caps, and 48,775 L of beverage. The number of bottles filled and capped is 108,500 and the leftover items are 18,015 bottles, 0 caps, and 4,189.425 L of beverage.

Step-by-step explanation:

Let's break down the information and solve each part:

a) Number of bottles filled and capped:

The limiting factor for the number of bottles that can be filled and capped is the number of caps available (108,500). Since each bottle requires one cap, the number of bottles that can be filled and capped is limited by the number of caps.

So, the number of bottles filled and capped is 108,500.

b) Leftover items:

To find the leftover items, we need to subtract the items used in the filling and capping process from the initial amounts.

Leftover bottles:

126,515 − 108,500 = 18,015 bottles

Leftover caps:

0 (since all caps were used in the filling and capping process)

Leftover beverage:

48,775L − (126,515 × 0.355L/bottle) = 4,189.425L

Therefore:

a) The number of bottles filled and capped is 108,500.

b) The leftover items are 18,015 bottles, 0 caps, and 4,189.425 L of beverage.