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# Algebra: Systems of Equations - 3 Word Problems

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1. Joe has a collection of nickels and dimes that is worth \$5.65. If the number of dimes was doubled and the number of nickels was increased by 8, the value of the coins would be \$10.45. How many dimes does he have?

2. An express train and a local train leave GraysLake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of each train.

3. Walt made an extra \$9000 last year from a part-time job. He invested part of the money at 9% and the rest at 8%. He made a total of \$770 in interest. How much was invested at 8%?

https://brainmass.com/math/basic-algebra/algebra-systems-equations-word-problems-29829

#### Solution Preview

1. Suppose he has x dimes and y nickels
=>0.1*x+0.05*y=5.65
...

#### Solution Summary

Three word problems are solved using algebraic equations and step by step, concise equations.

\$2.49