Answer:
7r + g = 46
7r + 2g = 50
Step-by-step explanation:
Hi there!
Matt and Trevon both bought supplies from a store, and we know that Matt bought 7 rose bushes and 1 geranium, and spent a total of $46 while Trevon bought 7 rose bushes and 2 geraniums, and spent a total of $50
We know that each rose bush costs a certain amount, and each geranium must cost a certain amount, but we don't know what that amount is; it's also possible that the amounts could be different
So let's say that the cost of one rose bush is r dollars; for Matt, that means that he spent 7r dollars on 7 rose bushes. Trevon also bought 7 rose bushes, meaning he also spent 7r dollars on rose bushes.
Since the cost of the geraniums can be different from the cost of every rose bush, let's express it with a different variable, like g.
Since Matt bought one geranium, he spent g dollars on that one geranium.
Trevon bought 2 geraniums, so he spent 2g dollars on the geraniums
The total cost of what Matt spent on flowers was 7r + g dollars (7 rose bushes + 1 geranium), which is equal to 46 dollars
As an equation, that can be written as 7r + g = 46
Trevon spent 7r + 2g dollars (7 rose bushes + 2 geraniums), which gave him a total of $50
As an equation, that can be written as 7r + 2g = 50
The two equations therefore are:
7r + g =46
7r+2g=50
Hope this helps!
Take a look here to practice with a similar problem if you wish (you don't have to look at the actual solving portion): https://brainly.com/question/14033905
