Question

Alex has a collection of butterflies and moths. He has 342 insects total. The number of butterflies is twice the number of moths. Write a system of equations that can be used to model this situation. How many butterflies does Alex have in his collection? A) 216 B) 222 C) 228 Eliminate D) 234

Answer 1

The answer is C) 228

How?

b + m = 342

b = 2m

2m + m = 342

3m = 342

m = 114

Substitute to the original equation, "b + m = 342".

b + 114 = 342

b = 228