Question

Translate each sentence into an equation.
1. One fourth of m minus six is equal to two times the sum of m and 9.
4. MARBLES Drew has 50 red, green, and blue marbles. He has six more red marbles than blue marbles
and four fewer green marbles than blue marbles. Write and solve an equation to determine how many blue
marbles Drew has.

Answer 1

Answers

1. 1/4 x M-6= (m+9)x2


Ps. Couldn’t do 4

Answer 2

Question 1

One fourth of m minus six is equal to two times the sum of m and 9:

• $\dfrac{1}{4}m -6=2(m+9)$

This is self-explanatory, please comment if something is unclear.

Question 2

Drew has 50 marbles; red, green and blue.

Equation for this:

• r + g + b = 50

He has six more red marbles than blue marbles:

Equation for this:

• r = b + 6

He has four fewer green marbles than blue marbles:

Equation for this:

• g = b - 4

Substitute r and g into first equation and solve for b:

• r + g + b = 50

• b + 6 + b - 4 + b = 50
• 3b + 2 = 50
• 3b = 48
• b = 48/3
• b = 16

Drew has 16 blue marbles.