Math word problem

Question

A researcher orders a broth of 8.8% glucose for her lab. However, she needs a stronger broth, one that is 13.8% glucose. Fortunately, she has 69.7 liters of 39.4% glucose broth in the stock room. How much 13.8% glucose broth can she make? Round your answer to the nearest tenth of a liter.

Answer 1

.138 x =.088(x - 69.7) + .394(69.7)

.138 x - .088x = 69.7(.394 - .088)

.05x = 21.3282

x = 426.564

This rounds to x = 426.6