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Let x represent the number of bags of high grade fertilizer.
Let y represent the number of bags of low grade fertilizer.
We can write the different ways the farmer can spend his $60 as:
12x+4y=60
There are six whole number combinations of bags possible, as shown.
| Bags of high grade | Bags of low grade |
|---|---|
| 0 | 15 |
| 1 | 12 |
| 2 | 9 |
| 3 | 6 |
| 4 | 3 |
| 5 | 0 |
a) 5x+4y=24
| x | y |
|---|---|
| 0 | 6 |
| 6 | 1 |
b) 3x+5y=35
| x | y |
|---|---|
| 0 | 7 |
| 5 | 4 |
| 10 | 1 |
c) 4x+6y=54
| x | y |
|---|---|
| 0 | 9 |
| 3 | 7 |
| 6 | 5 |
| 9 | 3 |
| 12 | 1 |
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