There are some lotus flowers in a lake. If one butterfiy sits on each

1.	There are some lotus flowers in a lake. If one butterfiy sits on each flower, one butterfly is left behindIf two butterflies sit on each flower, one flower is left behind. Find the number of flowers andbutterflies.
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 flowerleft. => y = x + 1 Also, if there are two butterflies on each flower, there is one flowerleft. => 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.

There are some lotus flowers in a lake. If one butterfiy sits on each flower, one butterfly is left behindIf two butterflies sit on each flower, one flower is left behind. Find the number of flowers andbutterflies.

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 flowerleft.

=> y = x + 1

Also, if there are two butterflies on each flower, there is one flowerleft.

=> 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.