The ratio of red boxes to blue boxes in a certain warehouse is 15 to 25.

The ratio of red boxes to blue boxes in a certain warehouse is 15 to 25. If the number of the red boxes were doubled and the number of blue boxes were increased by 150 the ratio would be halved. How many total boxes are in the warehouse?

Quiz

Answer/Solution

80

Steps/Work

Ratio = R/B = 15/25 or R = 15/25 B -----------(1)
2R/B+150 = 15/25*1/2 = 3/10 or we can say that 20R=3B+450 -------------(2)
solving (1) and (2) we get
B=50 and R = 30
so total boxes is B + R = 50+30=80
Hence E. 80 is the correct answer