Answer:
134 children and 32 adults.
Step-by-step explanation:
This solution is based on guess and check, I don't know if you know this method but it's used all the time for questions like these.
Or the faster way called assumption, but it is much harder and might get careless easily.
So let's do guess and check.
Predict how much adults and children would be there.
Let's say 76 children and 90 adults.
76 x 1.50 = 114
90 x 2.00 = 180
Total for first attempt = 180 + 114 = 294
The total amount is too much, so let's lower the number of adults and increase the number of children.
Let's say 85 children and 81 adults.
85 x 1.50 = 127.5
81 x 2.00 = 162
162 + 127.5 = 289.5
Again it's too much.
Let's make it 120 children and 46 adults.
120 x 1.50 = 180
46 x 2.00 = 92
180 + 92 = 272
It's too much but almost there, let's make another one.
140 children and 32 adults.
140 x 1.50 = 210
32 x 2.00 = 64
Too much children, lower it down to 132 children and 34 adults.
132 x 1.50 = 198
34 x 2.00 = 68
198 + 68 = 266
As you can see we're quite close.
134 children and 32 adults.
134 x 1.50 = 201
32 x 2.00 = 64
201 + 64 = 265
So we finally got the answer.
