A florist had an equal number of red and yellow tulips. She sold 624 red tulips. Then she had 4 times as many yellow tulips as red tulips. How many tulips did she have at first.

624
X 5
-----
3120

To find the initial number of tulips, we need to work backwards from the given information.

First, we know that the florist sold 624 red tulips. This means that she had 624 + 624 = 1248 tulips in total before selling any.

Next, we know that she had 4 times as many yellow tulips as red tulips. Since the number of yellow tulips is 4 times the number of red tulips, we can write the equation:

Yellow tulips = 4 * Red tulips

Substituting the value of the red tulips (624) into the equation, we have:

Yellow tulips = 4 * 624

Yellow tulips = 2496

Adding the number of yellow tulips to the number of red tulips, we can find the total initial number of tulips:

Total initial tulips = Red tulips + Yellow tulips
= 624 + 2496
= 3120

Therefore, the florist initially had a total of 3120 tulips.

To find the total number of tulips the florist had at first, we need to determine the number of yellow tulips.

Let's assume the number of red tulips the florist had at first is "x." Since the florist sold 624 red tulips, she had x-624 red tulips remaining.

According to the information given in the question, the florist had 4 times as many yellow tulips as red tulips remaining. Therefore, the number of yellow tulips is 4 * (x-624).

To find the total number of tulips, we can add the number of red and yellow tulips together:

x + 4 * (x-624) = total number of tulips

Simplifying the equation:

x + 4x - 2496 = total number of tulips

Combining like terms:

5x - 2496 = total number of tulips

To find the value of x, let's solve for it:

5x = total number of tulips + 2496

Dividing both sides by 5:

x = (total number of tulips + 2496)/5

Now we can substitute the given total number of red tulips sold to find the value of x:

x = (624 + 2496)/5

x = 3120/5

x = 624

Hence, the florist had 624 red tulips at first, which means she also had 624 yellow tulips initially. Therefore, the total number of tulips the florist had at first is:

624 red tulips + 624 yellow tulips = 1248 tulips.

s= sold

R-624=Y/4=R/4
3/4 R=624
R=732
but tulips at first=2R=twice above.