Answer :
You will need to work approximately 5.23 weeks to earn enough money to buy 199 pounds of potatoes.
The steps are:
- Determine your weekly earnings:
You work 5.1 hours per week and earn $16 per hour. So, your weekly earnings are calculated as follows:
5.1 hours/week × 16 dollars/hour = 81.6 dollars/week
- Calculate the cost per pound of potatoes:
You know that 3.6 pounds of potatoes cost $7.72. Therefore, the price per pound (lb) is:
7.72 dollars / 3.6 pounds = 2.1444 dollars/pound
- Find the total cost for 199 pounds of potatoes:
The cost of 199 pounds of potatoes is found by multiplying the cost per pound by the number of pounds:
199 pounds × 2.1444 dollars/pound = 426.7356 dollars
- Determine the number of weeks needed to earn enough money:
You need $426.7356 to buy 199 pounds of potatoes. Since you earn $81.6 per week, you can find the number of weeks needed by dividing the total cost by your weekly earnings:
(426.7356 dollars) / (81.6 dollars/week) ≈ 5.23 weeks