Question

Write an equation to represent the situation: There are 40 marbles in a bag. There are 4 less than three times as many medium marbles than small marbles, and 6 less large marbles than small marbles. How many small marbles are there?

Answer 1

To represent the situation, we can use the equation x + (3x - 4) + (x - 6) = 40. Solving this equation, we find that there are 10 small marbles in the bag.

Step-by-step explanation:

To represent the situation, we can use the following equations:

Let x = number of small marbles

Number of medium marbles = 3x - 4

Number of large marbles = x - 6

Total number of marbles = 40

Therefore, the equation is: x + (3x - 4) + (x - 6) = 40

Simplifying the equation, we get: 5x - 10 = 40

Adding 10 to both sides, we get: 5x = 50

Dividing by 5, we get: x = 10

So, there are 10 small marbles in the bag.