Todd has indigo, yellow, pink, and red flowers in his green house. The ratio of indigo flowers to yellow is 3 to 5. The ratio of yellow to pink is 2 to 4. The ratio of indigo flowers to red is 2 to 5. There are 6 indigo flowers. How many flowers of each color is Todd growing?
Please explain.
Thanks!
Let I, Y, P, and R be the numbers of each color. Each letter stands for the color.
I/Y = 3/5
Y/P = 1/2
I/R = 2/5
I = 6
That is four equations in four unknowns. They already told you the value of I.
Y = (5/3) I
Y = 10
Proceed with the equations to have to get R and P
A turtle crawls a hill 2 feet and slides back 1 foot each attempt. How many attempts will it take to reach the 14 foot hill?
Please explain.
Thanks
To find the number of yellow flowers, we can use the ratio given: I/Y = 3/5. Since we know that I (indigo flowers) is 6, we can substitute that value into the equation: 6/Y = 3/5.
To solve for Y, we can cross-multiply: 3Y = 6 * 5. Simplifying, we get: 3Y = 30. Dividing both sides by 3, we find that Y = 10.
So Todd has 10 yellow flowers.
Next, let's find the number of pink flowers. We can use the given ratio: Y/P = 2/4. Since we know Y is 10, we can substitute that value into the equation: 10/P = 2/4.
To solve for P, we can cross-multiply: 2P = 10 * 4. Simplifying, we get: 2P = 40. Dividing both sides by 2, we find that P = 20.
So Todd has 20 pink flowers.
Finally, let's find the number of red flowers. We can use the given ratio: I/R = 2/5. Since we know that I is 6, we can substitute that value into the equation: 6/R = 2/5.
To solve for R, we can cross-multiply: 2R = 6 * 5. Simplifying, we get: 2R = 30. Dividing both sides by 2, we find that R = 15.
So Todd has 15 red flowers.
In summary, Todd has 6 indigo flowers, 10 yellow flowers, 20 pink flowers, and 15 red flowers in his greenhouse.