Question

Question: Jlm has a total of 77 red and blue marbles. The number of blue marbles is five more than twice the number of red marbles.

a. Write a pair of linear equations to represent the information Be sure to state what the variables represent. b. Explain the substitution method of solving this pair of equations Solve the equations to find the number of red marbles. Show your work​

Answer 1

• 24 red and 53 blue

Explanation:

• Red marbles = r
• Blue marbles = b

Required equations:

• r + b = 77
• b = 2r + 5

Substitute b into first equation:

• r + 2r + 5 = 77
• 3r = 72
• r = 24

Find b:

• b = 2*24 + 5 = 53