Question

Jason is buying wings and hot dogs for a cost of $7 per pound and hot dogs cost $4 per pound. He knows he wants to buy at least 5 pounds of food. Jason has a food budget of $50.

a) How many pounds of wings and hot dogs can Jason buy to stay within his budget?
b) How many pounds of hot dogs can Jason buy for $50?
c) If Jason buys 5 pounds of food, how much will he spend in total?
d) none of above

Answer 1

Jason can buy a maximum of 12.5 pounds of hot dogs within his $50 budget. The total pounds of wings and hot dogs he can purchase depends on the combination he chooses with the price per pound. If he purchases 5 pounds of food, the total cost will be based on the prices per pound of wings and hot dogs.

Step-by-step explanation:

Jason's budgeting scenario is a typical consumer's budget problem where he needs to allocate a limited amount of money to purchase different items. In this case, Jason is buying wings and hot dogs with a budget constraint.

1. To calculate the maximum pounds of wings and hot dogs Jason can buy with $50, we have to consider the combined cost per pound and his minimum requirement of purchasing at least 5 pounds of food.
2. If he decides to only purchase hot dogs at $4 per pound, Jason can buy a maximum of 12.5 pounds of hot dogs ($50 / $4 per pound).
3. If Jason buys exactly 5 pounds of food, the cost will depend on the combination of wings and hot dogs he chooses. However, spending the full $50 on 5 pounds of food would require the cost per pound to be $10, which is not possible with the given prices.