Question

In arris garden, for every 2 purple flowers there are 6 orange flowers.there are a total of 56 purple and orange flowers. how many purple and orange flowers are there in arris garden

Answer 1

In Arris's garden, the ratio of purple to orange flowers is 1:3. For every 2 purple flowers, there are 6 orange flowers. There are 14 purple flowers and 42 orange flowers.

Step-by-step explanation:

To solve this problem, we can set up a system of equations. Let x represent the number of purple flowers and y represent the number of orange flowers. From the given information, we know that for every 2 purple flowers, there are 6 orange flowers. This can be represented as the equation y = 3x. We also know that the total number of purple and orange flowers is 56, so x + y = 56. To find the values of x and y, we can substitute the value of y from the first equation into the second equation: x + 3x = 56. Simplifying this equation gives us 4x = 56, and dividing both sides by 4 gives us x = 14. Substituting this value back into the first equation gives us y = 3(14) = 42. Therefore, there are 14 purple flowers and 42 orange flowers in Arris garden.