Luke is buying food for a neighborhood block party. He has $139 to spend, and he has already spent $121. He wants to buy some bags of hamburger buns that cost $4 each.

Question

Luke is buying food for a neighborhood block party. He has $139 to spend, and he has already spent $121. He wants to buy some bags of hamburger buns that cost $4 each.

Part A: Define a variable or variables needed to model this situation.
Part B: Using the variable(s) you defined in Part A, write an equation to find the number of bags of hamburger buns Luke can buy.
Part C: Luke wants to buy 6 bags of hamburger buns. Does he have enough money? Explain how you found your answer.

Answer 1

b = # bags

121 + 4b <= 139
Now do part C

Answer 2

Part A: The variable needed to model this situation is the number of bags of hamburger buns Luke can buy.

Part B: Let's denote the number of bags of hamburger buns as "x".

Therefore, the equation representing the number of bags Luke can buy is:
Total money available - Money already spent = Total cost of the hamburger buns
$139 - $121 = $4x

Part C: Luke wants to buy 6 bags of hamburger buns.
By substituting x = 6 into the equation:
$139 - $121 = $4(6)
$18 = $24

Since $18 is less than $24, Luke does not have enough money to buy 6 bags of hamburger buns.

Answer 3

Part A: To model this situation, we can define the following variables:

- Total budget: B (in dollars)
- Amount already spent: S (in dollars)
- Cost per bag of hamburger buns: C (in dollars)
- Number of bags of hamburger buns Luke can buy: N

Part B: To find the number of bags of hamburger buns Luke can buy, we can use the equation:
N = (B - S) / C

In this case, we have:
- B = $139 (Luke's total budget)
- S = $121 (the amount already spent)
- C = $4 (the cost per bag of hamburger buns)

Substituting these values into the equation, we get:
N = (139 - 121) / 4
N = 18 / 4
N = 4.5 (rounded to the nearest whole number)

Therefore, Luke can buy 4 bags of hamburger buns with the remaining $18.

Part C: Luke wants to buy 6 bags of hamburger buns, but we have determined that he can only afford to buy 4 bags. So, he does not have enough money to buy 6 bags. We found this answer by calculating the maximum number of bags Luke can purchase with the remaining budget, and comparing it to the desired number of bags. Since 4 is less than 6, Luke will not be able to buy all 6 bags of hamburger buns with his current budget.