Question

Eve has two more marbles than Solene. Solene has twice as many marbles as Steve. Steve has 7 less marbles than eve. How many marbles do they have in all?

A. 27 B. 20 C. 34 D. 13

Answer 1

Using a system of equations, the total number of marbles that they have is given by:

A. 27.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The variables are given as follows:

• Variable x: Eve's marbles.

• Variable y: Solene's marbles.

• Variable z: Steve's marbles.

Eve has two more marbles than Solene, hence:

x = y + 2.

Solene has twice as many marbles as Steve, hence:

• y = 2z -> z = y/2.

• x = 2z + 2.

Steve has 7 less marbles than eve, hence:

z = x - 7.

Hence:

$\frac{y}{2} = x - 7$

y = 2(x - 7)

y = 2(y + 2 - 7)

y = 2y - 10

y = 10.

Then:

• x = y + 2 = 10 + 2 = 12.

• z = x - 7 = 12 - 7 = 5.

Hence the total is given by:

T = 12 + 10 + 5 = 27.

Which means that option A is correct.

More can be learned about a system of equations at https://brainly.com/question/24342899

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