There are some lotus flowers in a lake. If 1 butterfly sits on each flower, one butterfly is left behind. If 2 butterflies sit on each flower, 1 flower is left behind. What is the no. of flowers and the no. of butterflies?
Answers
Answer:
Assume
the number of butterflies = x
the number of flowers = y
Given that if there is one butterfly for one flower, there is one flower left.
=> y = x + 1
Also, if there are two butterflies on each flower, there is one flower left.
=> y = 2(x - 1)
Thus,
x + 1 = 2x - 2
x - 2x = -2 -1
-x = -3
=> x = 3
The number of butterflies = x = 3.
The number of flowers = y = x + 1 = 3 + 1 = 4.
Step-by-step explanation:
so let's assume that
the number of butterflies = x
the number of flowers = y
Given that if there is one butterfly for one flower, there is one flower left.
=> y = x + 1
Also, if there are two butterflies on each flower, there is one flower left.
=> y = 2(x - 1)
Thus,
x + 1 = 2x - 2
x - 2x = -2 -1
-x = -3
=> x = 3
The number of butterflies = x = 3.
The number of flowers = y = x + 1 = 3 + 1 = 4.
hope its useful...