Question

A garden contains 135 flowers, each of which is either red or yellow.

There are 3 beds of yellow flowers and 3 beds of red flowers. There are
30 yellow flowers in each yellow flower bed.
PART A
If r represents the number of red flowers in each
red flower bed, what equation could you use to
represent the number of red and yellow flowers?

Answer 1

Let's use the variable "r" to represent the number of red flowers in each red flower bed.

Then, the total number of red flowers in the garden would be 3r, since there are 3 beds of red flowers.

Similarly, the total number of yellow flowers in the garden would be 3 * 30 = 90, since there are 3 beds of yellow flowers, and 30 flowers in each bed.

So the total number of flowers in the garden is the sum of the red and yellow flowers:

Total number of flowers = 3r + 90

Since there are 135 flowers in the garden, we can set the equation equal to 135 and solve for "r":

3r + 90 = 135

3r = 45

r = 15

Therefore, there are 15 red flowers in each red flower bed, and the total number of red flowers in the garden is 3r = 45. The equation representing the number of red and yellow flowers is:

Total number of flowers = 3r + 90 = 3(15) + 90 = 45 + 90 = 135.

So this equation checks out, as we expect the total number of flowers to be 135.