Question

The youth group at the church decided to plant geraniums and

daisies around the church grounds as a group project. Geraniums
in 6" pots cost $4 each and daisy plants cost $6 each. The youth
group spent $410 on 80 plants. How many geraniums and how many
daisy plants did the group buy?

Answer 1

The youth group bought 35 geraniums and 45 daisy plants.

Explanation:

We can solve this using a system of equations:

x + y = 80

4x + 6y = 410

X = Geraniums

Y = Daisies

First, let's solve for a variable in the first equation. I am going to solve for y in the first equation:

x + y = 80

y = -x + 80

Now that we have solved for y we can plug that back in to the 2nd equation:

4x + 6(-x + 80) = 410

4x - 6x + 480 = 410

-2x + 480 = 410

-2x = -70

x = 35

Now that we have found the amount of geraniums we can plug it back into the first equation and solve for y:

35 + y = 80

y = 45

Therefore the youth group bought 35 geraniums and 45 daisy plants.

Check:

(35) + (45) = 80

80 = 80

4(35) + 6(45) = 410

140 + 270 = 410

410 = 410

I hope this helps!!

- Kay :)