There are 1147 balloons. There are 225 more white balloons than red ones. There were 116 fewer blue balloons than white ones. How many balloons are there?

Question

There are 1147 balloons. There are 225 more white balloons then red. There are 116 fewer blue balloons than white balloons. How many balloons of each color are there?

Answer 1

w = r+225 --> w - 225 = r

w - 116 = b

r + w + b = 1147

w - 225 + w + w - 116 = 1147

3w -341 = 1147

3w = 1147 + 341

3w = 1488

w = 496

r = 496 - 225 = 271

b = 496 - 116 = 380

check: 271 + 380 + 496 = 1147