Question

The daisies proliferated until 5 times the number of daisies equaled twice the number of prunes. If the daisies and prunes totaled 35, how many of each were there

Answer 1

According to the information given, we have two equations:

5
D
=
2
P
5D=2P (Five times the number of daisies equals twice the number of prunes)
D
+
P
=
35
D+P=35 (The total number of daisies and prunes is 35)
Now, we can solve these equations simultaneously. From equation 1, we can express
P
P in terms of
D
D:
P
=
5
2
D
P=
2
5
​
D.

Substituting this into equation 2:

D
+
5
2
D
=
35
D+
2
5
​
D=35
2
D
+
5
D
=
70
2D+5D=70
7
D
=
70
7D=70

Solving for
D
D, we find
D
=
10
D=10.

Now, using the value of
D
D in equation 2:

10
+
P
=
35
10+P=35
P
=
35
−
10
P=35−10
P
=
25
P=25

So, there are 10 daisies and 25 prunes.