Chapter 2: Q4. (page 110)

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.

Short Answer

Expert verified

Drew has number of the blue marbles is $16$ .

Step by step solution

Step 1. Given information.

Drew has $50$ red, green and blue marbles.

He has $6$ more red marbles than blue marbles.

He has $4$ lesser green marbles than blue marbles.

Step 2. To find the expression of the problem.

Suppose the number of blue marbles is $= a$ .

Therefore, the number of red marbles is $= a + 6$ .

And, the number of green marbles is $= a - 4$ .

According to the question:

$(a + 6) + (a - 4) + a = 50$

Therefore, the expression of the question is $(a + 6) + (a - 4) + a = 50$ .

Step 3. To find the value of the a.

$\begin{array}{l} (a + 6) + (a - 4) + a = 50 \\ \Rightarrow 6 + a + a - 4 + a = 50 \\ \Rightarrow 3 a + 2 = 50 \\ \Rightarrow 3 a = 48 \\ \Rightarrow a = \frac{48}{3} \\ \Rightarrow a = 16 \end{array}$

Hence, Drew has number of the blue marbles is $16$ .

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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.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. To find the expression of the problem.

Step 3. To find the value of the a.

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Drew has 50red, 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.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. To find the expression of the problem.

Step 3. To find the value of the a.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Geometry

Discrete Mathematics

Decision Maths

Mechanics Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

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.