Heather loves roses.In her rose garden she has half as many pink roses as red,and four times as many red ones as white.There are 37 roses that are either yellow or white.Twenty are yellow.How many roses are in Heather's garden?
Help me out please anyone
140 roses. A LOT OF ROSES 😉
think of it backwards...
37 may be white or yellow.. you know 20 are yellow, so 37-20 are white...
From there you multiply the white ones (37-20) times 4, and you get RED
From there you divide RED by 2, and you get PINK
Then you ADD yellow, white, red and pink..
Let's break down the information given step by step.
Let's assume the number of white roses is "x." Then the number of red roses would be 4 times x, which is 4x. The number of pink roses would be half the number of red roses, which is 4x/2 or 2x.
We are also given that the total number of yellow and white roses is 37. Since we know that 20 of them are yellow, the number of white roses would be 37 - 20 or 17.
Now, we can find the total number of roses in Heather's garden. It would be the sum of the number of yellow (20), white (17), red (4x), and pink (2x) roses.
So, the total number of roses in Heather's garden would be 20 + 17 + 4x + 2x.
To find the value of x, we can set up an equation using the information given:
x + 4x + 2x + 37 = Total number of roses
Combining like terms, we get:
7x + 37 = Total number of roses
Since we don't know the specific total number of roses, we cannot solve for x or find the exact number of roses in Heather's garden.
However, if you have any specific values for the total number of roses, we can calculate the number of roses for that particular case.
To find out how many roses are in Heather's garden, we will break down the information given step by step.
Let's assume the number of white roses in the garden is "w."
According to the information given, there are 4 times as many red roses as white roses. So the number of red roses would be 4w.
Since Heather has half as many pink roses as red roses, we can calculate the number of pink roses. It would be half of the number of red roses, which is (1/2) * 4w = 2w.
We also know that there are 37 roses that are either yellow or white. This means the sum of white roses (w) and yellow roses should be 37. Given that there are 20 yellow roses, we can calculate the number of white roses. It would be 37 - 20 = 17.
Now, we have the number of white roses (w = 17). Using this, we can find the number of red roses (4w = 4 * 17 = 68) and the number of pink roses (2w = 2 * 17 = 34).
Finally, to find the total number of roses in Heather's garden, we add up the number of white, yellow, red, and pink roses: w (white) + y (yellow) + r (red) + p (pink).
In this case, the total number of roses is 17 (white) + 20 (yellow) + 68 (red) + 34 (pink) = 139.
Therefore, there are 139 roses in Heather's garden.