Answer:
Equation 1: x+y=15
Equation 2: 5x+4y=66
Explanation:
Let x be the number of rose bushes and y be the number of geranium plants then:
Number of Rose Bushes + Number of Geranium Plants = Total Number of Plants
This is the first equation. We can rewrite it using variables and a value given in the question:
x+y=15 (States that she spends $66 on 15 plants)
The second equation would be:
5(Number of Rose Bushes)+4(Number of Geranium Plants) = Total Cost of Plants
Note we are multiplying by 4 or 5 because one Rose Bush/Geranium Plant costs $4 or $5.
We can again rewrite the equation using variables and a given value from the question:
5x+4y=66 ("She spends $66")
Therefore...
Equation 1: x+y=15
Equation 2: 5x+4y=66