# Systems of Linear Equations

# Solving Word Problems with Systems of Equations Exercises

### Example 1

Solve the following word problem:

A forest inhabited only by borogoves and mome raths contains eighty-two creatures. Borogoves are two-legged animals, while a mome rath has 4 legs. If the forest contains a total of 234 legs, how many borogoves and how many mome raths live in the forest?

### Example 2

Solve the following word problem:

Blue beads cost $0.50 per ounce and green beads cost $0.75 per ounce. Janine wants to mix blue and green beads to get 10 ounces of a bead mixture worth $0.55 per ounce. How many ounces of each color does Janine need to buy?

### Example 3

Solve the following word problem:

Ayako spent $7.80 on equal weights of white and red beads. The red beads cost twice as much per ounce as the white beads. How much did Ayako spend on each color of beads?

### Example 4

Solve the following word problem:

A rectangle has perimeter 18. If each side of the rectangle is doubled, the perimeter of the new rectangle is 36. What were the dimensions of the original rectangle?

### Example 5

Solve the following word problem:

Jemima wants to make chocolate-chip walnut brownies. Chocolate chips come in a 12oz bag that costs $3. Walnuts come in a 4oz bag that costs $2. If Jemima needs three pounds of chocolate chips and walnuts combined, and has $15 to spend, how many bags of each can she buy?