Lesson 1.4: Word Problems Answers

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How many gallons of pure water should be added to 10 gallons of a solution containing 15% juice so that the remaining solution contains 5% juice?Fill in the table:What is the amount of juice in the original solution? a = 15✔ 1.50.15

What is the original amount of solution in gallons? b = ✔ 10155

How much juice is added? c = 151.5x✔ 0

How much total solution is added? d = ✔ x10 0

Ten liters of pure water are added to a 50-liter pot of soup that is 50% broth. Fill in the missing parts of the table.c = ✔ 25050

d = 01050✔ 60

Set up the equation relating the new ratio of broth to solution to the new percentage of broth to solution.

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Fill out the Distance column.c = ✔ x miles30 miles20 miles1/2 miles

d = ✔ x miles30 miles20 miles1/2 miles

Fill out the Rate column in the table below.a = ✔ 30201/2

b = 30✔ 201/2

Choose the best equation to solve for x.

How far does Gerry live from school?

If the experienced technician and intern work together, then we assume that the they work is the same.

The rate of the experienced technician is ✔ 1/12x/1212/x .

Complete the table, set up an equation, and solve the problem.It takes hours for the experienced technician and the intern to set up the network if they work together.