Answer:
Step-by-step explanation:
Let x represent the number of pounds of fruit that you can buy.
Let y represent the number of pounds of fruit that you can buy.
You need to buy at least 20 of them. This means that
x + y ≥ 20 - - - - - - - - - - - 1
You have a budget of 40$. Fruit cost 4$ per pound and the granola bars cost 1$ each. This means that
4x + y = 40
Substituting y = 40 - 4x into equation 1, it becomes
x + 40 - 4x ≥ 20
x - 4x ≥ 20 - 40
- 3x ≥ - 20
Dividing both sides of the equation by - 1, it becomes
3x ≤ 20
x ≤ 20/3 = 6.67
This means that the maximum number of pounds of fruit that you can by is 6 pounds.
Therefore the combination of fruit and granola bars that you can buy would be
1) 6 pounds of fruit and 16 bars of granola.
2) 5 pounds of fruit and 20 bars of granola.
3) 4 pounds of fruit and 24 bars of granola.
4) 3 pounds of fruit and 28 bars of granola.
5) 2 pounds of fruit and 32 bars of granola.
6) 1 pound of fruit and 36 bars of granola.
