Answer:
6 red and 4 white flowers
Explanation:
Let's use a system of equations to solve this problem. Let
�
R represent the number of red flowers and
�
W represent the number of white flowers.
We are given two pieces of information:
The total number of flowers is 10:
�
+
�
=
10
R+W=10.
The total number of petals is 62:
5
�
+
8
�
=
62
5R+8W=62.
Now, we can solve this system of equations. Let's first solve equation (1) for
�
R:
�
=
10
−
�
R=10−W.
Now, substitute this expression for
�
R into equation (2):
5
(
10
−
�
)
+
8
�
=
62
5(10−W)+8W=62.
Now, distribute the 5 on the left side:
50
−
5
�
+
8
�
=
62
50−5W+8W=62.
Combine like terms:
50
+
3
�
=
62
50+3W=62.
Subtract 50 from both sides:
3
�
=
12
3W=12.
Now, divide by 3:
�
=
12
3
=
4
W=
3
12
=4.
So, there are 4 white flowers. Now, use this value to find the number of red flowers using equation (1):
�
=
10
−
�
=
10
−
4
=
6
R=10−W=10−4=6.
There are 6 red flowers.
So, there are 6 red flowers and 4 white flowers in total.