There are 350 red flowers in a room there are 70 more yellow flowers then red flowers there are 140 fewer white flowers then yellow flowers what is the ratio of the number of red flowers to the yellow flowers to the white flowers
what do we know?
r = 350
y = r+70
w = y-140
r:y:w = 350:420:280 = 5:6:4
To find the ratio of the number of red flowers to yellow flowers to white flowers, we first need to determine the number of yellow and white flowers.
Given that there are 70 more yellow flowers than red flowers, we add 70 to the number of red flowers to find the total number of yellow flowers:
Number of yellow flowers = Number of red flowers + 70
Since we know there are 350 red flowers, we can substitute this value into the equation:
Number of yellow flowers = 350 + 70
Number of yellow flowers = 420
Next, we are told that there are 140 fewer white flowers than yellow flowers. To determine the number of white flowers, we subtract 140 from the number of yellow flowers:
Number of white flowers = Number of yellow flowers - 140
Substituting the value of the number of yellow flowers:
Number of white flowers = 420 - 140
Number of white flowers = 280
Now we have the values for the number of red, yellow, and white flowers:
Number of red flowers = 350
Number of yellow flowers = 420
Number of white flowers = 280
To find the ratio, we divide each of these values by their greatest common divisor (GCD) to simplify the ratio. In this case, the GCD of 350, 420, and 280 is 70.
Dividing each number by 70:
Number of red flowers = 350 ÷ 70 = 5
Number of yellow flowers = 420 ÷ 70 = 6
Number of white flowers = 280 ÷ 70 = 4
Therefore, the ratio of the number of red flowers to yellow flowers to white flowers is 5:6:4.