Question

Nestlé water pumps 1.2 million gallons per day out of G. Springs to put in bottles.

A. How many liters per week is this?
(8 pints = 1 gallon. There are 2.11 pints per 1 liter.)
B. Put in scientific notation.

Answer 1

A. How many liters per week is this?

31,848,341.232 liters per week

B. Put in scientific notation

3.1848341232 × 10⁷ liters per week

Approximately = 3.2× 10⁷ liters per week

Explanation:

A. Nestle water pumps 1.2 Million gallons per day = 1,200,000

i. Given that 1 week = 7 days

1 day = 1,200,000 gallons produced

7 days = 1,200,000 × 7 days

= 8,400,000 gallons produced in one week ( 7 days)

= 8,400,000 gallons per week

ii. Given that 8 pints = 1 gallon

1 gallon = 8 pints

8,400,000 gallons produced in one week = 8,400,000 × 8 pints

= 67,200,000 pints per week

Therefore 67,200,000 pints are produced in one week.

III. Given that 2.11 pints = 1 liter

If 2.11 pints = 1 liter

67,200,000 pints produced in one week = X liters

Cross multiplying

2.11X = 67,200,000

X = 67,200,000 ÷ 2.11

X = 31,848,341.232 liters per week

B. Put in scientific notation

3.1848341232 × 10⁷ liters per week

Approximately = 3.2 × 10⁷ liters per week

Answer 2

3.2×10⁷ liters/week

Explanation:

`(1.2\cdot 10^6\,gal)/(1\,day)\cdot(7\,day)/(1\,week)\cdot(8\,pint)/(1\,gal)\cdot(1\,L)/(2.11\,pint)=(1.2\cdot 10^6\cdot 7\cdot 8\,L)/(2.11\,week)\\\\\approx 3.2\cdot 10^7\,(L)/(week)`